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Simplifying 3(x + -2) + -2(x + -3) = 4(1 + -1x) + 5 Reorder the terms: 3(-2 + x) + -2(x + -3) = 4(1 + -1x) + 5 (-2 * 3 + x * 3) + -2(x + -3) = 4(1 + -1x) + 5 (-6 + 3x) + -2(x + -3) = 4(1 + -1x) + 5 Reorder the terms: -6 + 3x + -2(-3 + x) = 4(1 + -1x) + 5 -6 + 3x + (-3 * -2 + x * -2) = 4(1 + -1x) + 5 -6 + 3x + (6 + -2x) = 4(1 + -1x) + 5 Reorder the terms: -6 + 6 + 3x + -2x = 4(1 + -1x) + 5 Combine like terms: -6 + 6 = 0 0 + 3x + -2x = 4(1 + -1x) + 5 3x + -2x = 4(1 + -1x) + 5 Combine like terms: 3x + -2x = 1x 1x = 4(1 + -1x) + 5 1x = (1 * 4 + -1x * 4) + 5 1x = (4 + -4x) + 5 Reorder the terms: 1x = 4 + 5 + -4x Combine like terms: 4 + 5 = 9 1x = 9 + -4x Solving 1x = 9 + -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. 1x + 4x = 9 + -4x + 4x Combine like terms: 1x + 4x = 5x 5x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 5x = 9 + 0 5x = 9 Divide each side by '5'. x = 1.8 Simplifying x = 1.8
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