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Simplifying 100 + -3(5x + 4) + 9x = 7(2x + -11) + -35 Reorder the terms: 100 + -3(4 + 5x) + 9x = 7(2x + -11) + -35 100 + (4 * -3 + 5x * -3) + 9x = 7(2x + -11) + -35 100 + (-12 + -15x) + 9x = 7(2x + -11) + -35 Combine like terms: 100 + -12 = 88 88 + -15x + 9x = 7(2x + -11) + -35 Combine like terms: -15x + 9x = -6x 88 + -6x = 7(2x + -11) + -35 Reorder the terms: 88 + -6x = 7(-11 + 2x) + -35 88 + -6x = (-11 * 7 + 2x * 7) + -35 88 + -6x = (-77 + 14x) + -35 Reorder the terms: 88 + -6x = -77 + -35 + 14x Combine like terms: -77 + -35 = -112 88 + -6x = -112 + 14x Solving 88 + -6x = -112 + 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. 88 + -6x + -14x = -112 + 14x + -14x Combine like terms: -6x + -14x = -20x 88 + -20x = -112 + 14x + -14x Combine like terms: 14x + -14x = 0 88 + -20x = -112 + 0 88 + -20x = -112 Add '-88' to each side of the equation. 88 + -88 + -20x = -112 + -88 Combine like terms: 88 + -88 = 0 0 + -20x = -112 + -88 -20x = -112 + -88 Combine like terms: -112 + -88 = -200 -20x = -200 Divide each side by '-20'. x = 10 Simplifying x = 10
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