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Simplifying 4(x + -8) + -9 = -5(-3x + 9) + -1x Reorder the terms: 4(-8 + x) + -9 = -5(-3x + 9) + -1x (-8 * 4 + x * 4) + -9 = -5(-3x + 9) + -1x (-32 + 4x) + -9 = -5(-3x + 9) + -1x Reorder the terms: -32 + -9 + 4x = -5(-3x + 9) + -1x Combine like terms: -32 + -9 = -41 -41 + 4x = -5(-3x + 9) + -1x Reorder the terms: -41 + 4x = -5(9 + -3x) + -1x -41 + 4x = (9 * -5 + -3x * -5) + -1x -41 + 4x = (-45 + 15x) + -1x Combine like terms: 15x + -1x = 14x -41 + 4x = -45 + 14x Solving -41 + 4x = -45 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -41 + 4x + -14x = -45 + 14x + -14x Combine like terms: 4x + -14x = -10x -41 + -10x = -45 + 14x + -14x Combine like terms: 14x + -14x = 0 -41 + -10x = -45 + 0 -41 + -10x = -45 Add '41' to each side of the equation. -41 + 41 + -10x = -45 + 41 Combine like terms: -41 + 41 = 0 0 + -10x = -45 + 41 -10x = -45 + 41 Combine like terms: -45 + 41 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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