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Simplifying 3[10 + -4(x + -2)] + 2[(3x + 9) + -2] = 2(x + 1) + 36 Reorder the terms: 3[10 + -4(-2 + x)] + 2[(3x + 9) + -2] = 2(x + 1) + 36 3[10 + (-2 * -4 + x * -4)] + 2[(3x + 9) + -2] = 2(x + 1) + 36 3[10 + (8 + -4x)] + 2[(3x + 9) + -2] = 2(x + 1) + 36 Combine like terms: 10 + 8 = 18 3[18 + -4x] + 2[(3x + 9) + -2] = 2(x + 1) + 36 [18 * 3 + -4x * 3] + 2[(3x + 9) + -2] = 2(x + 1) + 36 [54 + -12x] + 2[(3x + 9) + -2] = 2(x + 1) + 36 Reorder the terms: 54 + -12x + 2[(9 + 3x) + -2] = 2(x + 1) + 36 Remove parenthesis around (9 + 3x) 54 + -12x + 2[9 + 3x + -2] = 2(x + 1) + 36 Reorder the terms: 54 + -12x + 2[9 + -2 + 3x] = 2(x + 1) + 36 Combine like terms: 9 + -2 = 7 54 + -12x + 2[7 + 3x] = 2(x + 1) + 36 54 + -12x + [7 * 2 + 3x * 2] = 2(x + 1) + 36 54 + -12x + [14 + 6x] = 2(x + 1) + 36 Reorder the terms: 54 + 14 + -12x + 6x = 2(x + 1) + 36 Combine like terms: 54 + 14 = 68 68 + -12x + 6x = 2(x + 1) + 36 Combine like terms: -12x + 6x = -6x 68 + -6x = 2(x + 1) + 36 Reorder the terms: 68 + -6x = 2(1 + x) + 36 68 + -6x = (1 * 2 + x * 2) + 36 68 + -6x = (2 + 2x) + 36 Reorder the terms: 68 + -6x = 2 + 36 + 2x Combine like terms: 2 + 36 = 38 68 + -6x = 38 + 2x Solving 68 + -6x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 68 + -6x + -2x = 38 + 2x + -2x Combine like terms: -6x + -2x = -8x 68 + -8x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 68 + -8x = 38 + 0 68 + -8x = 38 Add '-68' to each side of the equation. 68 + -68 + -8x = 38 + -68 Combine like terms: 68 + -68 = 0 0 + -8x = 38 + -68 -8x = 38 + -68 Combine like terms: 38 + -68 = -30 -8x = -30 Divide each side by '-8'. x = 3.75 Simplifying x = 3.75
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