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Simplifying 2(5x + -3) + -3(x + 1) = 2(x + -1) Reorder the terms: 2(-3 + 5x) + -3(x + 1) = 2(x + -1) (-3 * 2 + 5x * 2) + -3(x + 1) = 2(x + -1) (-6 + 10x) + -3(x + 1) = 2(x + -1) Reorder the terms: -6 + 10x + -3(1 + x) = 2(x + -1) -6 + 10x + (1 * -3 + x * -3) = 2(x + -1) -6 + 10x + (-3 + -3x) = 2(x + -1) Reorder the terms: -6 + -3 + 10x + -3x = 2(x + -1) Combine like terms: -6 + -3 = -9 -9 + 10x + -3x = 2(x + -1) Combine like terms: 10x + -3x = 7x -9 + 7x = 2(x + -1) Reorder the terms: -9 + 7x = 2(-1 + x) -9 + 7x = (-1 * 2 + x * 2) -9 + 7x = (-2 + 2x) Solving -9 + 7x = -2 + 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. -9 + 7x + -2x = -2 + 2x + -2x Combine like terms: 7x + -2x = 5x -9 + 5x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 5x = -2 + 0 -9 + 5x = -2 Add '9' to each side of the equation. -9 + 9 + 5x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = -2 + 9 5x = -2 + 9 Combine like terms: -2 + 9 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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