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Simplifying (5x + -9) + -1 = (4 + -3x)(-2) + 10 Reorder the terms: (-9 + 5x) + -1 = (4 + -3x)(-2) + 10 Remove parenthesis around (-9 + 5x) -9 + 5x + -1 = (4 + -3x)(-2) + 10 Reorder the terms: -9 + -1 + 5x = (4 + -3x)(-2) + 10 Combine like terms: -9 + -1 = -10 -10 + 5x = (4 + -3x)(-2) + 10 Reorder the terms for easier multiplication: -10 + 5x = -2(4 + -3x) + 10 -10 + 5x = (4 * -2 + -3x * -2) + 10 -10 + 5x = (-8 + 6x) + 10 Reorder the terms: -10 + 5x = -8 + 10 + 6x Combine like terms: -8 + 10 = 2 -10 + 5x = 2 + 6x Solving -10 + 5x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 5x + -6x = 2 + 6x + -6x Combine like terms: 5x + -6x = -1x -10 + -1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -1x = 2 + 0 -10 + -1x = 2 Add '10' to each side of the equation. -10 + 10 + -1x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 2 + 10 -1x = 2 + 10 Combine like terms: 2 + 10 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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