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Simplifying 3(x + -4) + -8 = 15x + -152 Reorder the terms: 3(-4 + x) + -8 = 15x + -152 (-4 * 3 + x * 3) + -8 = 15x + -152 (-12 + 3x) + -8 = 15x + -152 Reorder the terms: -12 + -8 + 3x = 15x + -152 Combine like terms: -12 + -8 = -20 -20 + 3x = 15x + -152 Reorder the terms: -20 + 3x = -152 + 15x Solving -20 + 3x = -152 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -20 + 3x + -15x = -152 + 15x + -15x Combine like terms: 3x + -15x = -12x -20 + -12x = -152 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + -12x = -152 + 0 -20 + -12x = -152 Add '20' to each side of the equation. -20 + 20 + -12x = -152 + 20 Combine like terms: -20 + 20 = 0 0 + -12x = -152 + 20 -12x = -152 + 20 Combine like terms: -152 + 20 = -132 -12x = -132 Divide each side by '-12'. x = 11 Simplifying x = 11
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