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Simplifying -3(5x + -4) + -12 = -3(8x + 5) + -3 Reorder the terms: -3(-4 + 5x) + -12 = -3(8x + 5) + -3 (-4 * -3 + 5x * -3) + -12 = -3(8x + 5) + -3 (12 + -15x) + -12 = -3(8x + 5) + -3 Reorder the terms: 12 + -12 + -15x = -3(8x + 5) + -3 Combine like terms: 12 + -12 = 0 0 + -15x = -3(8x + 5) + -3 -15x = -3(8x + 5) + -3 Reorder the terms: -15x = -3(5 + 8x) + -3 -15x = (5 * -3 + 8x * -3) + -3 -15x = (-15 + -24x) + -3 Reorder the terms: -15x = -15 + -3 + -24x Combine like terms: -15 + -3 = -18 -15x = -18 + -24x Solving -15x = -18 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -15x + 24x = -18 + -24x + 24x Combine like terms: -15x + 24x = 9x 9x = -18 + -24x + 24x Combine like terms: -24x + 24x = 0 9x = -18 + 0 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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