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Simplifying 5(2x + -3) = 3(4x + -7) Reorder the terms: 5(-3 + 2x) = 3(4x + -7) (-3 * 5 + 2x * 5) = 3(4x + -7) (-15 + 10x) = 3(4x + -7) Reorder the terms: -15 + 10x = 3(-7 + 4x) -15 + 10x = (-7 * 3 + 4x * 3) -15 + 10x = (-21 + 12x) Solving -15 + 10x = -21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 10x + -12x = -21 + 12x + -12x Combine like terms: 10x + -12x = -2x -15 + -2x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -2x = -21 + 0 -15 + -2x = -21 Add '15' to each side of the equation. -15 + 15 + -2x = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -21 + 15 -2x = -21 + 15 Combine like terms: -21 + 15 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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