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Simplifying 2(8x + -4) = -2 + 5(3x + -1) Reorder the terms: 2(-4 + 8x) = -2 + 5(3x + -1) (-4 * 2 + 8x * 2) = -2 + 5(3x + -1) (-8 + 16x) = -2 + 5(3x + -1) Reorder the terms: -8 + 16x = -2 + 5(-1 + 3x) -8 + 16x = -2 + (-1 * 5 + 3x * 5) -8 + 16x = -2 + (-5 + 15x) Combine like terms: -2 + -5 = -7 -8 + 16x = -7 + 15x Solving -8 + 16x = -7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + 16x + -15x = -7 + 15x + -15x Combine like terms: 16x + -15x = 1x -8 + 1x = -7 + 15x + -15x Combine like terms: 15x + -15x = 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 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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