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Simplifying -2(3x + -7) + 8x = 4 + 2(5x + -1) Reorder the terms: -2(-7 + 3x) + 8x = 4 + 2(5x + -1) (-7 * -2 + 3x * -2) + 8x = 4 + 2(5x + -1) (14 + -6x) + 8x = 4 + 2(5x + -1) Combine like terms: -6x + 8x = 2x 14 + 2x = 4 + 2(5x + -1) Reorder the terms: 14 + 2x = 4 + 2(-1 + 5x) 14 + 2x = 4 + (-1 * 2 + 5x * 2) 14 + 2x = 4 + (-2 + 10x) Combine like terms: 4 + -2 = 2 14 + 2x = 2 + 10x Solving 14 + 2x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 2x + -10x = 2 + 10x + -10x Combine like terms: 2x + -10x = -8x 14 + -8x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -8x = 2 + 0 14 + -8x = 2 Add '-14' to each side of the equation. 14 + -14 + -8x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = 2 + -14 -8x = 2 + -14 Combine like terms: 2 + -14 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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