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Simplifying 3x + -7(3x + -4) = 5(2x + -7) Reorder the terms: 3x + -7(-4 + 3x) = 5(2x + -7) 3x + (-4 * -7 + 3x * -7) = 5(2x + -7) 3x + (28 + -21x) = 5(2x + -7) Reorder the terms: 28 + 3x + -21x = 5(2x + -7) Combine like terms: 3x + -21x = -18x 28 + -18x = 5(2x + -7) Reorder the terms: 28 + -18x = 5(-7 + 2x) 28 + -18x = (-7 * 5 + 2x * 5) 28 + -18x = (-35 + 10x) Solving 28 + -18x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 28 + -18x + -10x = -35 + 10x + -10x Combine like terms: -18x + -10x = -28x 28 + -28x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + -28x = -35 + 0 28 + -28x = -35 Add '-28' to each side of the equation. 28 + -28 + -28x = -35 + -28 Combine like terms: 28 + -28 = 0 0 + -28x = -35 + -28 -28x = -35 + -28 Combine like terms: -35 + -28 = -63 -28x = -63 Divide each side by '-28'. x = 2.25 Simplifying x = 2.25
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