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Simplifying 5(x + -4) = 3(2x + -7) Reorder the terms: 5(-4 + x) = 3(2x + -7) (-4 * 5 + x * 5) = 3(2x + -7) (-20 + 5x) = 3(2x + -7) Reorder the terms: -20 + 5x = 3(-7 + 2x) -20 + 5x = (-7 * 3 + 2x * 3) -20 + 5x = (-21 + 6x) Solving -20 + 5x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 5x + -6x = -21 + 6x + -6x Combine like terms: 5x + -6x = -1x -20 + -1x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -1x = -21 + 0 -20 + -1x = -21 Add '20' to each side of the equation. -20 + 20 + -1x = -21 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = -21 + 20 -1x = -21 + 20 Combine like terms: -21 + 20 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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