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Simplifying 5(2x + -3) + -2(3x + -4) = -35 Reorder the terms: 5(-3 + 2x) + -2(3x + -4) = -35 (-3 * 5 + 2x * 5) + -2(3x + -4) = -35 (-15 + 10x) + -2(3x + -4) = -35 Reorder the terms: -15 + 10x + -2(-4 + 3x) = -35 -15 + 10x + (-4 * -2 + 3x * -2) = -35 -15 + 10x + (8 + -6x) = -35 Reorder the terms: -15 + 8 + 10x + -6x = -35 Combine like terms: -15 + 8 = -7 -7 + 10x + -6x = -35 Combine like terms: 10x + -6x = 4x -7 + 4x = -35 Solving -7 + 4x = -35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = -35 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -35 + 7 4x = -35 + 7 Combine like terms: -35 + 7 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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