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Simplifying 2(x + -4) + 9 = 5x + -3(-1x + 1) Reorder the terms: 2(-4 + x) + 9 = 5x + -3(-1x + 1) (-4 * 2 + x * 2) + 9 = 5x + -3(-1x + 1) (-8 + 2x) + 9 = 5x + -3(-1x + 1) Reorder the terms: -8 + 9 + 2x = 5x + -3(-1x + 1) Combine like terms: -8 + 9 = 1 1 + 2x = 5x + -3(-1x + 1) Reorder the terms: 1 + 2x = 5x + -3(1 + -1x) 1 + 2x = 5x + (1 * -3 + -1x * -3) 1 + 2x = 5x + (-3 + 3x) Reorder the terms: 1 + 2x = -3 + 5x + 3x Combine like terms: 5x + 3x = 8x 1 + 2x = -3 + 8x Solving 1 + 2x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 2x + -8x = -3 + 8x + -8x Combine like terms: 2x + -8x = -6x 1 + -6x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -6x = -3 + 0 1 + -6x = -3 Add '-1' to each side of the equation. 1 + -1 + -6x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -3 + -1 -6x = -3 + -1 Combine like terms: -3 + -1 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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