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Simplifying 3[10 + -4(x + -3)] + 2[(3x + 6) + -2] = 2x + 360 Reorder the terms: 3[10 + -4(-3 + x)] + 2[(3x + 6) + -2] = 2x + 360 3[10 + (-3 * -4 + x * -4)] + 2[(3x + 6) + -2] = 2x + 360 3[10 + (12 + -4x)] + 2[(3x + 6) + -2] = 2x + 360 Combine like terms: 10 + 12 = 22 3[22 + -4x] + 2[(3x + 6) + -2] = 2x + 360 [22 * 3 + -4x * 3] + 2[(3x + 6) + -2] = 2x + 360 [66 + -12x] + 2[(3x + 6) + -2] = 2x + 360 Reorder the terms: 66 + -12x + 2[(6 + 3x) + -2] = 2x + 360 Remove parenthesis around (6 + 3x) 66 + -12x + 2[6 + 3x + -2] = 2x + 360 Reorder the terms: 66 + -12x + 2[6 + -2 + 3x] = 2x + 360 Combine like terms: 6 + -2 = 4 66 + -12x + 2[4 + 3x] = 2x + 360 66 + -12x + [4 * 2 + 3x * 2] = 2x + 360 66 + -12x + [8 + 6x] = 2x + 360 Reorder the terms: 66 + 8 + -12x + 6x = 2x + 360 Combine like terms: 66 + 8 = 74 74 + -12x + 6x = 2x + 360 Combine like terms: -12x + 6x = -6x 74 + -6x = 2x + 360 Reorder the terms: 74 + -6x = 360 + 2x Solving 74 + -6x = 360 + 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. 74 + -6x + -2x = 360 + 2x + -2x Combine like terms: -6x + -2x = -8x 74 + -8x = 360 + 2x + -2x Combine like terms: 2x + -2x = 0 74 + -8x = 360 + 0 74 + -8x = 360 Add '-74' to each side of the equation. 74 + -74 + -8x = 360 + -74 Combine like terms: 74 + -74 = 0 0 + -8x = 360 + -74 -8x = 360 + -74 Combine like terms: 360 + -74 = 286 -8x = 286 Divide each side by '-8'. x = -35.75 Simplifying x = -35.75
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