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Simplifying 2(x + -3) + 5(x + 2) = 4(x + -1) + 3 Reorder the terms: 2(-3 + x) + 5(x + 2) = 4(x + -1) + 3 (-3 * 2 + x * 2) + 5(x + 2) = 4(x + -1) + 3 (-6 + 2x) + 5(x + 2) = 4(x + -1) + 3 Reorder the terms: -6 + 2x + 5(2 + x) = 4(x + -1) + 3 -6 + 2x + (2 * 5 + x * 5) = 4(x + -1) + 3 -6 + 2x + (10 + 5x) = 4(x + -1) + 3 Reorder the terms: -6 + 10 + 2x + 5x = 4(x + -1) + 3 Combine like terms: -6 + 10 = 4 4 + 2x + 5x = 4(x + -1) + 3 Combine like terms: 2x + 5x = 7x 4 + 7x = 4(x + -1) + 3 Reorder the terms: 4 + 7x = 4(-1 + x) + 3 4 + 7x = (-1 * 4 + x * 4) + 3 4 + 7x = (-4 + 4x) + 3 Reorder the terms: 4 + 7x = -4 + 3 + 4x Combine like terms: -4 + 3 = -1 4 + 7x = -1 + 4x Solving 4 + 7x = -1 + 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. 4 + 7x + -4x = -1 + 4x + -4x Combine like terms: 7x + -4x = 3x 4 + 3x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 3x = -1 + 0 4 + 3x = -1 Add '-4' to each side of the equation. 4 + -4 + 3x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -1 + -4 3x = -1 + -4 Combine like terms: -1 + -4 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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