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Simplifying 2(4x + -3) + 8 = -3(2x + 4) Reorder the terms: 2(-3 + 4x) + 8 = -3(2x + 4) (-3 * 2 + 4x * 2) + 8 = -3(2x + 4) (-6 + 8x) + 8 = -3(2x + 4) Reorder the terms: -6 + 8 + 8x = -3(2x + 4) Combine like terms: -6 + 8 = 2 2 + 8x = -3(2x + 4) Reorder the terms: 2 + 8x = -3(4 + 2x) 2 + 8x = (4 * -3 + 2x * -3) 2 + 8x = (-12 + -6x) Solving 2 + 8x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + 8x + 6x = -12 + -6x + 6x Combine like terms: 8x + 6x = 14x 2 + 14x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 14x = -12 + 0 2 + 14x = -12 Add '-2' to each side of the equation. 2 + -2 + 14x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = -12 + -2 14x = -12 + -2 Combine like terms: -12 + -2 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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