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Simplifying 3(4x + -7) = 5(3x + 3) Reorder the terms: 3(-7 + 4x) = 5(3x + 3) (-7 * 3 + 4x * 3) = 5(3x + 3) (-21 + 12x) = 5(3x + 3) Reorder the terms: -21 + 12x = 5(3 + 3x) -21 + 12x = (3 * 5 + 3x * 5) -21 + 12x = (15 + 15x) Solving -21 + 12x = 15 + 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 + 12x + -15x = 15 + 15x + -15x Combine like terms: 12x + -15x = -3x -21 + -3x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + -3x = 15 + 0 -21 + -3x = 15 Add '21' to each side of the equation. -21 + 21 + -3x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 15 + 21 -3x = 15 + 21 Combine like terms: 15 + 21 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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