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Simplifying (2x + 3) * 5 = 7(4x + -3) Reorder the terms: (3 + 2x) * 5 = 7(4x + -3) Reorder the terms for easier multiplication: 5(3 + 2x) = 7(4x + -3) (3 * 5 + 2x * 5) = 7(4x + -3) (15 + 10x) = 7(4x + -3) Reorder the terms: 15 + 10x = 7(-3 + 4x) 15 + 10x = (-3 * 7 + 4x * 7) 15 + 10x = (-21 + 28x) Solving 15 + 10x = -21 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 15 + 10x + -28x = -21 + 28x + -28x Combine like terms: 10x + -28x = -18x 15 + -18x = -21 + 28x + -28x Combine like terms: 28x + -28x = 0 15 + -18x = -21 + 0 15 + -18x = -21 Add '-15' to each side of the equation. 15 + -15 + -18x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -18x = -21 + -15 -18x = -21 + -15 Combine like terms: -21 + -15 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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