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Simplifying -5 + 3(x + -2) = 15 + -1(2x + -4) Reorder the terms: -5 + 3(-2 + x) = 15 + -1(2x + -4) -5 + (-2 * 3 + x * 3) = 15 + -1(2x + -4) -5 + (-6 + 3x) = 15 + -1(2x + -4) Combine like terms: -5 + -6 = -11 -11 + 3x = 15 + -1(2x + -4) Reorder the terms: -11 + 3x = 15 + -1(-4 + 2x) -11 + 3x = 15 + (-4 * -1 + 2x * -1) -11 + 3x = 15 + (4 + -2x) Combine like terms: 15 + 4 = 19 -11 + 3x = 19 + -2x Solving -11 + 3x = 19 + -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. -11 + 3x + 2x = 19 + -2x + 2x Combine like terms: 3x + 2x = 5x -11 + 5x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 5x = 19 + 0 -11 + 5x = 19 Add '11' to each side of the equation. -11 + 11 + 5x = 19 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 19 + 11 5x = 19 + 11 Combine like terms: 19 + 11 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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