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Simplifying -4[x + -3] = 6[x + 5] Reorder the terms: -4[-3 + x] = 6[x + 5] [-3 * -4 + x * -4] = 6[x + 5] [12 + -4x] = 6[x + 5] Reorder the terms: 12 + -4x = 6[5 + x] 12 + -4x = [5 * 6 + x * 6] 12 + -4x = [30 + 6x] Solving 12 + -4x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -4x + -6x = 30 + 6x + -6x Combine like terms: -4x + -6x = -10x 12 + -10x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -10x = 30 + 0 12 + -10x = 30 Add '-12' to each side of the equation. 12 + -12 + -10x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 30 + -12 -10x = 30 + -12 Combine like terms: 30 + -12 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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