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Simplifying 5(x + -3) + -4(x + 2) = 3(1 + -2x) Reorder the terms: 5(-3 + x) + -4(x + 2) = 3(1 + -2x) (-3 * 5 + x * 5) + -4(x + 2) = 3(1 + -2x) (-15 + 5x) + -4(x + 2) = 3(1 + -2x) Reorder the terms: -15 + 5x + -4(2 + x) = 3(1 + -2x) -15 + 5x + (2 * -4 + x * -4) = 3(1 + -2x) -15 + 5x + (-8 + -4x) = 3(1 + -2x) Reorder the terms: -15 + -8 + 5x + -4x = 3(1 + -2x) Combine like terms: -15 + -8 = -23 -23 + 5x + -4x = 3(1 + -2x) Combine like terms: 5x + -4x = 1x -23 + 1x = 3(1 + -2x) -23 + 1x = (1 * 3 + -2x * 3) -23 + 1x = (3 + -6x) Solving -23 + 1x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -23 + 1x + 6x = 3 + -6x + 6x Combine like terms: 1x + 6x = 7x -23 + 7x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -23 + 7x = 3 + 0 -23 + 7x = 3 Add '23' to each side of the equation. -23 + 23 + 7x = 3 + 23 Combine like terms: -23 + 23 = 0 0 + 7x = 3 + 23 7x = 3 + 23 Combine like terms: 3 + 23 = 26 7x = 26 Divide each side by '7'. x = 3.714285714 Simplifying x = 3.714285714
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