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Simplifying 3(x + 6x) + -8(x + -5) = 4(3x + 2) Combine like terms: x + 6x = 7x 3(7x) + -8(x + -5) = 4(3x + 2) Remove parenthesis around (7x) 3 * 7x + -8(x + -5) = 4(3x + 2) Multiply 3 * 7 21x + -8(x + -5) = 4(3x + 2) Reorder the terms: 21x + -8(-5 + x) = 4(3x + 2) 21x + (-5 * -8 + x * -8) = 4(3x + 2) 21x + (40 + -8x) = 4(3x + 2) Reorder the terms: 40 + 21x + -8x = 4(3x + 2) Combine like terms: 21x + -8x = 13x 40 + 13x = 4(3x + 2) Reorder the terms: 40 + 13x = 4(2 + 3x) 40 + 13x = (2 * 4 + 3x * 4) 40 + 13x = (8 + 12x) Solving 40 + 13x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 13x + -12x = 8 + 12x + -12x Combine like terms: 13x + -12x = 1x 40 + 1x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + 1x = 8 + 0 40 + 1x = 8 Add '-40' to each side of the equation. 40 + -40 + 1x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 8 + -40 1x = 8 + -40 Combine like terms: 8 + -40 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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