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Simplifying -12[x + 7] = 3[x + -53] Reorder the terms: -12[7 + x] = 3[x + -53] [7 * -12 + x * -12] = 3[x + -53] [-84 + -12x] = 3[x + -53] Reorder the terms: -84 + -12x = 3[-53 + x] -84 + -12x = [-53 * 3 + x * 3] -84 + -12x = [-159 + 3x] Solving -84 + -12x = -159 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -84 + -12x + -3x = -159 + 3x + -3x Combine like terms: -12x + -3x = -15x -84 + -15x = -159 + 3x + -3x Combine like terms: 3x + -3x = 0 -84 + -15x = -159 + 0 -84 + -15x = -159 Add '84' to each side of the equation. -84 + 84 + -15x = -159 + 84 Combine like terms: -84 + 84 = 0 0 + -15x = -159 + 84 -15x = -159 + 84 Combine like terms: -159 + 84 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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