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Simplifying x + -2(x + -5) = 4(x + -4) + 6 Reorder the terms: x + -2(-5 + x) = 4(x + -4) + 6 x + (-5 * -2 + x * -2) = 4(x + -4) + 6 x + (10 + -2x) = 4(x + -4) + 6 Reorder the terms: 10 + x + -2x = 4(x + -4) + 6 Combine like terms: x + -2x = -1x 10 + -1x = 4(x + -4) + 6 Reorder the terms: 10 + -1x = 4(-4 + x) + 6 10 + -1x = (-4 * 4 + x * 4) + 6 10 + -1x = (-16 + 4x) + 6 Reorder the terms: 10 + -1x = -16 + 6 + 4x Combine like terms: -16 + 6 = -10 10 + -1x = -10 + 4x Solving 10 + -1x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -1x + -4x = -10 + 4x + -4x Combine like terms: -1x + -4x = -5x 10 + -5x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -5x = -10 + 0 10 + -5x = -10 Add '-10' to each side of the equation. 10 + -10 + -5x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -10 + -10 -5x = -10 + -10 Combine like terms: -10 + -10 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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