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Simplifying 4x + -2(x + -4) = -7 + 5x + 3 Reorder the terms: 4x + -2(-4 + x) = -7 + 5x + 3 4x + (-4 * -2 + x * -2) = -7 + 5x + 3 4x + (8 + -2x) = -7 + 5x + 3 Reorder the terms: 8 + 4x + -2x = -7 + 5x + 3 Combine like terms: 4x + -2x = 2x 8 + 2x = -7 + 5x + 3 Reorder the terms: 8 + 2x = -7 + 3 + 5x Combine like terms: -7 + 3 = -4 8 + 2x = -4 + 5x Solving 8 + 2x = -4 + 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 + 2x + -5x = -4 + 5x + -5x Combine like terms: 2x + -5x = -3x 8 + -3x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -3x = -4 + 0 8 + -3x = -4 Add '-8' to each side of the equation. 8 + -8 + -3x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -4 + -8 -3x = -4 + -8 Combine like terms: -4 + -8 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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