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Simplifying 3(x + -4) + 12(x + -9) = 4x + 13 Reorder the terms: 3(-4 + x) + 12(x + -9) = 4x + 13 (-4 * 3 + x * 3) + 12(x + -9) = 4x + 13 (-12 + 3x) + 12(x + -9) = 4x + 13 Reorder the terms: -12 + 3x + 12(-9 + x) = 4x + 13 -12 + 3x + (-9 * 12 + x * 12) = 4x + 13 -12 + 3x + (-108 + 12x) = 4x + 13 Reorder the terms: -12 + -108 + 3x + 12x = 4x + 13 Combine like terms: -12 + -108 = -120 -120 + 3x + 12x = 4x + 13 Combine like terms: 3x + 12x = 15x -120 + 15x = 4x + 13 Reorder the terms: -120 + 15x = 13 + 4x Solving -120 + 15x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -120 + 15x + -4x = 13 + 4x + -4x Combine like terms: 15x + -4x = 11x -120 + 11x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -120 + 11x = 13 + 0 -120 + 11x = 13 Add '120' to each side of the equation. -120 + 120 + 11x = 13 + 120 Combine like terms: -120 + 120 = 0 0 + 11x = 13 + 120 11x = 13 + 120 Combine like terms: 13 + 120 = 133 11x = 133 Divide each side by '11'. x = 12.09090909 Simplifying x = 12.09090909
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