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Simplifying -2(-1 + 3x) + 5 = 7x + 4(-2x + -2) (-1 * -2 + 3x * -2) + 5 = 7x + 4(-2x + -2) (2 + -6x) + 5 = 7x + 4(-2x + -2) Reorder the terms: 2 + 5 + -6x = 7x + 4(-2x + -2) Combine like terms: 2 + 5 = 7 7 + -6x = 7x + 4(-2x + -2) Reorder the terms: 7 + -6x = 7x + 4(-2 + -2x) 7 + -6x = 7x + (-2 * 4 + -2x * 4) 7 + -6x = 7x + (-8 + -8x) Reorder the terms: 7 + -6x = -8 + 7x + -8x Combine like terms: 7x + -8x = -1x 7 + -6x = -8 + -1x Solving 7 + -6x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + -6x + x = -8 + -1x + x Combine like terms: -6x + x = -5x 7 + -5x = -8 + -1x + x Combine like terms: -1x + x = 0 7 + -5x = -8 + 0 7 + -5x = -8 Add '-7' to each side of the equation. 7 + -7 + -5x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -8 + -7 -5x = -8 + -7 Combine like terms: -8 + -7 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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