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Simplifying 5(3x + -7) + -1(6x + 2) * 7 = 59 Reorder the terms: 5(-7 + 3x) + -1(6x + 2) * 7 = 59 (-7 * 5 + 3x * 5) + -1(6x + 2) * 7 = 59 (-35 + 15x) + -1(6x + 2) * 7 = 59 Reorder the terms: -35 + 15x + -1(2 + 6x) * 7 = 59 Reorder the terms for easier multiplication: -35 + 15x + -1 * 7(2 + 6x) = 59 Multiply -1 * 7 -35 + 15x + -7(2 + 6x) = 59 -35 + 15x + (2 * -7 + 6x * -7) = 59 -35 + 15x + (-14 + -42x) = 59 Reorder the terms: -35 + -14 + 15x + -42x = 59 Combine like terms: -35 + -14 = -49 -49 + 15x + -42x = 59 Combine like terms: 15x + -42x = -27x -49 + -27x = 59 Solving -49 + -27x = 59 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -27x = 59 + 49 Combine like terms: -49 + 49 = 0 0 + -27x = 59 + 49 -27x = 59 + 49 Combine like terms: 59 + 49 = 108 -27x = 108 Divide each side by '-27'. x = -4 Simplifying x = -4
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