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