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Simplifying 7 + 3(x + -5) = 5(2x + -4) + -3x Reorder the terms: 7 + 3(-5 + x) = 5(2x + -4) + -3x 7 + (-5 * 3 + x * 3) = 5(2x + -4) + -3x 7 + (-15 + 3x) = 5(2x + -4) + -3x Combine like terms: 7 + -15 = -8 -8 + 3x = 5(2x + -4) + -3x Reorder the terms: -8 + 3x = 5(-4 + 2x) + -3x -8 + 3x = (-4 * 5 + 2x * 5) + -3x -8 + 3x = (-20 + 10x) + -3x Combine like terms: 10x + -3x = 7x -8 + 3x = -20 + 7x Solving -8 + 3x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 3x + -7x = -20 + 7x + -7x Combine like terms: 3x + -7x = -4x -8 + -4x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -4x = -20 + 0 -8 + -4x = -20 Add '8' to each side of the equation. -8 + 8 + -4x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -20 + 8 -4x = -20 + 8 Combine like terms: -20 + 8 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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