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Simplifying 3(x + 1) + -1(9x + -4) = -1(5x + 2) + -1(-4x + 1) Reorder the terms: 3(1 + x) + -1(9x + -4) = -1(5x + 2) + -1(-4x + 1) (1 * 3 + x * 3) + -1(9x + -4) = -1(5x + 2) + -1(-4x + 1) (3 + 3x) + -1(9x + -4) = -1(5x + 2) + -1(-4x + 1) Reorder the terms: 3 + 3x + -1(-4 + 9x) = -1(5x + 2) + -1(-4x + 1) 3 + 3x + (-4 * -1 + 9x * -1) = -1(5x + 2) + -1(-4x + 1) 3 + 3x + (4 + -9x) = -1(5x + 2) + -1(-4x + 1) Reorder the terms: 3 + 4 + 3x + -9x = -1(5x + 2) + -1(-4x + 1) Combine like terms: 3 + 4 = 7 7 + 3x + -9x = -1(5x + 2) + -1(-4x + 1) Combine like terms: 3x + -9x = -6x 7 + -6x = -1(5x + 2) + -1(-4x + 1) Reorder the terms: 7 + -6x = -1(2 + 5x) + -1(-4x + 1) 7 + -6x = (2 * -1 + 5x * -1) + -1(-4x + 1) 7 + -6x = (-2 + -5x) + -1(-4x + 1) Reorder the terms: 7 + -6x = -2 + -5x + -1(1 + -4x) 7 + -6x = -2 + -5x + (1 * -1 + -4x * -1) 7 + -6x = -2 + -5x + (-1 + 4x) Reorder the terms: 7 + -6x = -2 + -1 + -5x + 4x Combine like terms: -2 + -1 = -3 7 + -6x = -3 + -5x + 4x Combine like terms: -5x + 4x = -1x 7 + -6x = -3 + -1x Solving 7 + -6x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + -6x + x = -3 + -1x + x Combine like terms: -6x + x = -5x 7 + -5x = -3 + -1x + x Combine like terms: -1x + x = 0 7 + -5x = -3 + 0 7 + -5x = -3 Add '-7' to each side of the equation. 7 + -7 + -5x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -3 + -7 -5x = -3 + -7 Combine like terms: -3 + -7 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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