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Simplifying 5(x + -2) + -1(2x + -1) = 3 + 4(x + 3) Reorder the terms: 5(-2 + x) + -1(2x + -1) = 3 + 4(x + 3) (-2 * 5 + x * 5) + -1(2x + -1) = 3 + 4(x + 3) (-10 + 5x) + -1(2x + -1) = 3 + 4(x + 3) Reorder the terms: -10 + 5x + -1(-1 + 2x) = 3 + 4(x + 3) -10 + 5x + (-1 * -1 + 2x * -1) = 3 + 4(x + 3) -10 + 5x + (1 + -2x) = 3 + 4(x + 3) Reorder the terms: -10 + 1 + 5x + -2x = 3 + 4(x + 3) Combine like terms: -10 + 1 = -9 -9 + 5x + -2x = 3 + 4(x + 3) Combine like terms: 5x + -2x = 3x -9 + 3x = 3 + 4(x + 3) Reorder the terms: -9 + 3x = 3 + 4(3 + x) -9 + 3x = 3 + (3 * 4 + x * 4) -9 + 3x = 3 + (12 + 4x) Combine like terms: 3 + 12 = 15 -9 + 3x = 15 + 4x Solving -9 + 3x = 15 + 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. -9 + 3x + -4x = 15 + 4x + -4x Combine like terms: 3x + -4x = -1x -9 + -1x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -1x = 15 + 0 -9 + -1x = 15 Add '9' to each side of the equation. -9 + 9 + -1x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 15 + 9 -1x = 15 + 9 Combine like terms: 15 + 9 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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