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Simplifying 3(43 + -5x) = 6(38 + -2x) (43 * 3 + -5x * 3) = 6(38 + -2x) (129 + -15x) = 6(38 + -2x) 129 + -15x = (38 * 6 + -2x * 6) 129 + -15x = (228 + -12x) Solving 129 + -15x = 228 + -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. 129 + -15x + 12x = 228 + -12x + 12x Combine like terms: -15x + 12x = -3x 129 + -3x = 228 + -12x + 12x Combine like terms: -12x + 12x = 0 129 + -3x = 228 + 0 129 + -3x = 228 Add '-129' to each side of the equation. 129 + -129 + -3x = 228 + -129 Combine like terms: 129 + -129 = 0 0 + -3x = 228 + -129 -3x = 228 + -129 Combine like terms: 228 + -129 = 99 -3x = 99 Divide each side by '-3'. x = -33 Simplifying x = -33
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