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Simplifying -2(3x + -4) + -1(x + -3) + -1 = -2(x + -1) + -7 Reorder the terms: -2(-4 + 3x) + -1(x + -3) + -1 = -2(x + -1) + -7 (-4 * -2 + 3x * -2) + -1(x + -3) + -1 = -2(x + -1) + -7 (8 + -6x) + -1(x + -3) + -1 = -2(x + -1) + -7 Reorder the terms: 8 + -6x + -1(-3 + x) + -1 = -2(x + -1) + -7 8 + -6x + (-3 * -1 + x * -1) + -1 = -2(x + -1) + -7 8 + -6x + (3 + -1x) + -1 = -2(x + -1) + -7 Reorder the terms: 8 + 3 + -1 + -6x + -1x = -2(x + -1) + -7 Combine like terms: 8 + 3 = 11 11 + -1 + -6x + -1x = -2(x + -1) + -7 Combine like terms: 11 + -1 = 10 10 + -6x + -1x = -2(x + -1) + -7 Combine like terms: -6x + -1x = -7x 10 + -7x = -2(x + -1) + -7 Reorder the terms: 10 + -7x = -2(-1 + x) + -7 10 + -7x = (-1 * -2 + x * -2) + -7 10 + -7x = (2 + -2x) + -7 Reorder the terms: 10 + -7x = 2 + -7 + -2x Combine like terms: 2 + -7 = -5 10 + -7x = -5 + -2x Solving 10 + -7x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + -7x + 2x = -5 + -2x + 2x Combine like terms: -7x + 2x = -5x 10 + -5x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -5x = -5 + 0 10 + -5x = -5 Add '-10' to each side of the equation. 10 + -10 + -5x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -5 + -10 -5x = -5 + -10 Combine like terms: -5 + -10 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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