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Simplifying 4(2x + 1) = 3(5x + -4) + -12 Reorder the terms: 4(1 + 2x) = 3(5x + -4) + -12 (1 * 4 + 2x * 4) = 3(5x + -4) + -12 (4 + 8x) = 3(5x + -4) + -12 Reorder the terms: 4 + 8x = 3(-4 + 5x) + -12 4 + 8x = (-4 * 3 + 5x * 3) + -12 4 + 8x = (-12 + 15x) + -12 Reorder the terms: 4 + 8x = -12 + -12 + 15x Combine like terms: -12 + -12 = -24 4 + 8x = -24 + 15x Solving 4 + 8x = -24 + 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. 4 + 8x + -15x = -24 + 15x + -15x Combine like terms: 8x + -15x = -7x 4 + -7x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -7x = -24 + 0 4 + -7x = -24 Add '-4' to each side of the equation. 4 + -4 + -7x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -24 + -4 -7x = -24 + -4 Combine like terms: -24 + -4 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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