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Simplifying 4x + 3(x + 2) = 5(2x + -3) Reorder the terms: 4x + 3(2 + x) = 5(2x + -3) 4x + (2 * 3 + x * 3) = 5(2x + -3) 4x + (6 + 3x) = 5(2x + -3) Reorder the terms: 6 + 4x + 3x = 5(2x + -3) Combine like terms: 4x + 3x = 7x 6 + 7x = 5(2x + -3) Reorder the terms: 6 + 7x = 5(-3 + 2x) 6 + 7x = (-3 * 5 + 2x * 5) 6 + 7x = (-15 + 10x) Solving 6 + 7x = -15 + 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. 6 + 7x + -10x = -15 + 10x + -10x Combine like terms: 7x + -10x = -3x 6 + -3x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -3x = -15 + 0 6 + -3x = -15 Add '-6' to each side of the equation. 6 + -6 + -3x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -15 + -6 -3x = -15 + -6 Combine like terms: -15 + -6 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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