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Simplifying 7(2x + -3) = 5(3x + -4) Reorder the terms: 7(-3 + 2x) = 5(3x + -4) (-3 * 7 + 2x * 7) = 5(3x + -4) (-21 + 14x) = 5(3x + -4) Reorder the terms: -21 + 14x = 5(-4 + 3x) -21 + 14x = (-4 * 5 + 3x * 5) -21 + 14x = (-20 + 15x) Solving -21 + 14x = -20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + 14x + -15x = -20 + 15x + -15x Combine like terms: 14x + -15x = -1x -21 + -1x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + -1x = -20 + 0 -21 + -1x = -20 Add '21' to each side of the equation. -21 + 21 + -1x = -20 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -20 + 21 -1x = -20 + 21 Combine like terms: -20 + 21 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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