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Simplifying 8 + -2x + 7 + -4x = 3(x + -4) Reorder the terms: 8 + 7 + -2x + -4x = 3(x + -4) Combine like terms: 8 + 7 = 15 15 + -2x + -4x = 3(x + -4) Combine like terms: -2x + -4x = -6x 15 + -6x = 3(x + -4) Reorder the terms: 15 + -6x = 3(-4 + x) 15 + -6x = (-4 * 3 + x * 3) 15 + -6x = (-12 + 3x) Solving 15 + -6x = -12 + 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. 15 + -6x + -3x = -12 + 3x + -3x Combine like terms: -6x + -3x = -9x 15 + -9x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -9x = -12 + 0 15 + -9x = -12 Add '-15' to each side of the equation. 15 + -15 + -9x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = -12 + -15 -9x = -12 + -15 Combine like terms: -12 + -15 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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