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Simplifying 4(x + 1) + -1(6x + -9) = -3x Reorder the terms: 4(1 + x) + -1(6x + -9) = -3x (1 * 4 + x * 4) + -1(6x + -9) = -3x (4 + 4x) + -1(6x + -9) = -3x Reorder the terms: 4 + 4x + -1(-9 + 6x) = -3x 4 + 4x + (-9 * -1 + 6x * -1) = -3x 4 + 4x + (9 + -6x) = -3x Reorder the terms: 4 + 9 + 4x + -6x = -3x Combine like terms: 4 + 9 = 13 13 + 4x + -6x = -3x Combine like terms: 4x + -6x = -2x 13 + -2x = -3x Solving 13 + -2x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 13 + -2x + 3x = -3x + 3x Combine like terms: -2x + 3x = 1x 13 + 1x = -3x + 3x Combine like terms: -3x + 3x = 0 13 + 1x = 0 Add '-13' to each side of the equation. 13 + -13 + 1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 0 + -13 1x = 0 + -13 Combine like terms: 0 + -13 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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