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Simplifying 8x + -2(3x + -4) = 5x + -7 Reorder the terms: 8x + -2(-4 + 3x) = 5x + -7 8x + (-4 * -2 + 3x * -2) = 5x + -7 8x + (8 + -6x) = 5x + -7 Reorder the terms: 8 + 8x + -6x = 5x + -7 Combine like terms: 8x + -6x = 2x 8 + 2x = 5x + -7 Reorder the terms: 8 + 2x = -7 + 5x Solving 8 + 2x = -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 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x 8 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -3x = -7 + 0 8 + -3x = -7 Add '-8' to each side of the equation. 8 + -8 + -3x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -7 + -8 -3x = -7 + -8 Combine like terms: -7 + -8 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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