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Simplifying 4(x + -2) + 2x = 2x + -10 + 2x + 2 + 2(0.5x + -4) Reorder the terms: 4(-2 + x) + 2x = 2x + -10 + 2x + 2 + 2(0.5x + -4) (-2 * 4 + x * 4) + 2x = 2x + -10 + 2x + 2 + 2(0.5x + -4) (-8 + 4x) + 2x = 2x + -10 + 2x + 2 + 2(0.5x + -4) Combine like terms: 4x + 2x = 6x -8 + 6x = 2x + -10 + 2x + 2 + 2(0.5x + -4) Reorder the terms: -8 + 6x = 2x + -10 + 2x + 2 + 2(-4 + 0.5x) -8 + 6x = 2x + -10 + 2x + 2 + (-4 * 2 + 0.5x * 2) -8 + 6x = 2x + -10 + 2x + 2 + (-8 + 1x) Reorder the terms: -8 + 6x = -10 + 2 + -8 + 2x + 2x + 1x Combine like terms: -10 + 2 = -8 -8 + 6x = -8 + -8 + 2x + 2x + 1x Combine like terms: -8 + -8 = -16 -8 + 6x = -16 + 2x + 2x + 1x Combine like terms: 2x + 2x = 4x -8 + 6x = -16 + 4x + 1x Combine like terms: 4x + 1x = 5x -8 + 6x = -16 + 5x Solving -8 + 6x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 6x + -5x = -16 + 5x + -5x Combine like terms: 6x + -5x = 1x -8 + 1x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 1x = -16 + 0 -8 + 1x = -16 Add '8' to each side of the equation. -8 + 8 + 1x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -16 + 8 1x = -16 + 8 Combine like terms: -16 + 8 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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