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Simplifying 4x + -6(3x + 8) + -5(2x + -7) = 35 Reorder the terms: 4x + -6(8 + 3x) + -5(2x + -7) = 35 4x + (8 * -6 + 3x * -6) + -5(2x + -7) = 35 4x + (-48 + -18x) + -5(2x + -7) = 35 Reorder the terms: 4x + -48 + -18x + -5(-7 + 2x) = 35 4x + -48 + -18x + (-7 * -5 + 2x * -5) = 35 4x + -48 + -18x + (35 + -10x) = 35 Reorder the terms: -48 + 35 + 4x + -18x + -10x = 35 Combine like terms: -48 + 35 = -13 -13 + 4x + -18x + -10x = 35 Combine like terms: 4x + -18x = -14x -13 + -14x + -10x = 35 Combine like terms: -14x + -10x = -24x -13 + -24x = 35 Solving -13 + -24x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -24x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + -24x = 35 + 13 -24x = 35 + 13 Combine like terms: 35 + 13 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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