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Simplifying 3(8x + -4) + -2(8 + 5x) = -14 + 15x Reorder the terms: 3(-4 + 8x) + -2(8 + 5x) = -14 + 15x (-4 * 3 + 8x * 3) + -2(8 + 5x) = -14 + 15x (-12 + 24x) + -2(8 + 5x) = -14 + 15x -12 + 24x + (8 * -2 + 5x * -2) = -14 + 15x -12 + 24x + (-16 + -10x) = -14 + 15x Reorder the terms: -12 + -16 + 24x + -10x = -14 + 15x Combine like terms: -12 + -16 = -28 -28 + 24x + -10x = -14 + 15x Combine like terms: 24x + -10x = 14x -28 + 14x = -14 + 15x Solving -28 + 14x = -14 + 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. -28 + 14x + -15x = -14 + 15x + -15x Combine like terms: 14x + -15x = -1x -28 + -1x = -14 + 15x + -15x Combine like terms: 15x + -15x = 0 -28 + -1x = -14 + 0 -28 + -1x = -14 Add '28' to each side of the equation. -28 + 28 + -1x = -14 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = -14 + 28 -1x = -14 + 28 Combine like terms: -14 + 28 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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