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Simplifying 8x + -2(2x + -4) = 5x + -7 Reorder the terms: 8x + -2(-4 + 2x) = 5x + -7 8x + (-4 * -2 + 2x * -2) = 5x + -7 8x + (8 + -4x) = 5x + -7 Reorder the terms: 8 + 8x + -4x = 5x + -7 Combine like terms: 8x + -4x = 4x 8 + 4x = 5x + -7 Reorder the terms: 8 + 4x = -7 + 5x Solving 8 + 4x = -7 + 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 + 4x + -5x = -7 + 5x + -5x Combine like terms: 4x + -5x = -1x 8 + -1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -1x = -7 + 0 8 + -1x = -7 Add '-8' to each side of the equation. 8 + -8 + -1x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -7 + -8 -1x = -7 + -8 Combine like terms: -7 + -8 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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