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Simplifying 8x + -3(x + -4) = 3(x + -4) + -6 Reorder the terms: 8x + -3(-4 + x) = 3(x + -4) + -6 8x + (-4 * -3 + x * -3) = 3(x + -4) + -6 8x + (12 + -3x) = 3(x + -4) + -6 Reorder the terms: 12 + 8x + -3x = 3(x + -4) + -6 Combine like terms: 8x + -3x = 5x 12 + 5x = 3(x + -4) + -6 Reorder the terms: 12 + 5x = 3(-4 + x) + -6 12 + 5x = (-4 * 3 + x * 3) + -6 12 + 5x = (-12 + 3x) + -6 Reorder the terms: 12 + 5x = -12 + -6 + 3x Combine like terms: -12 + -6 = -18 12 + 5x = -18 + 3x Solving 12 + 5x = -18 + 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. 12 + 5x + -3x = -18 + 3x + -3x Combine like terms: 5x + -3x = 2x 12 + 2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 2x = -18 + 0 12 + 2x = -18 Add '-12' to each side of the equation. 12 + -12 + 2x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -18 + -12 2x = -18 + -12 Combine like terms: -18 + -12 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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