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Simplifying 2(x + -4) + 10 = 4x + -3(x + 8) Reorder the terms: 2(-4 + x) + 10 = 4x + -3(x + 8) (-4 * 2 + x * 2) + 10 = 4x + -3(x + 8) (-8 + 2x) + 10 = 4x + -3(x + 8) Reorder the terms: -8 + 10 + 2x = 4x + -3(x + 8) Combine like terms: -8 + 10 = 2 2 + 2x = 4x + -3(x + 8) Reorder the terms: 2 + 2x = 4x + -3(8 + x) 2 + 2x = 4x + (8 * -3 + x * -3) 2 + 2x = 4x + (-24 + -3x) Reorder the terms: 2 + 2x = -24 + 4x + -3x Combine like terms: 4x + -3x = 1x 2 + 2x = -24 + 1x Solving 2 + 2x = -24 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 2x + -1x = -24 + 1x + -1x Combine like terms: 2x + -1x = 1x 2 + 1x = -24 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 1x = -24 + 0 2 + 1x = -24 Add '-2' to each side of the equation. 2 + -2 + 1x = -24 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -24 + -2 1x = -24 + -2 Combine like terms: -24 + -2 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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