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Simplifying -2(x + -4) = 6(x + 2) + 3 Reorder the terms: -2(-4 + x) = 6(x + 2) + 3 (-4 * -2 + x * -2) = 6(x + 2) + 3 (8 + -2x) = 6(x + 2) + 3 Reorder the terms: 8 + -2x = 6(2 + x) + 3 8 + -2x = (2 * 6 + x * 6) + 3 8 + -2x = (12 + 6x) + 3 Reorder the terms: 8 + -2x = 12 + 3 + 6x Combine like terms: 12 + 3 = 15 8 + -2x = 15 + 6x Solving 8 + -2x = 15 + 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. 8 + -2x + -6x = 15 + 6x + -6x Combine like terms: -2x + -6x = -8x 8 + -8x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -8x = 15 + 0 8 + -8x = 15 Add '-8' to each side of the equation. 8 + -8 + -8x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 15 + -8 -8x = 15 + -8 Combine like terms: 15 + -8 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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