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Simplifying 3(2x + 5) + -4x = 4(x + 3) + 7 Reorder the terms: 3(5 + 2x) + -4x = 4(x + 3) + 7 (5 * 3 + 2x * 3) + -4x = 4(x + 3) + 7 (15 + 6x) + -4x = 4(x + 3) + 7 Combine like terms: 6x + -4x = 2x 15 + 2x = 4(x + 3) + 7 Reorder the terms: 15 + 2x = 4(3 + x) + 7 15 + 2x = (3 * 4 + x * 4) + 7 15 + 2x = (12 + 4x) + 7 Reorder the terms: 15 + 2x = 12 + 7 + 4x Combine like terms: 12 + 7 = 19 15 + 2x = 19 + 4x Solving 15 + 2x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 2x + -4x = 19 + 4x + -4x Combine like terms: 2x + -4x = -2x 15 + -2x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -2x = 19 + 0 15 + -2x = 19 Add '-15' to each side of the equation. 15 + -15 + -2x = 19 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 19 + -15 -2x = 19 + -15 Combine like terms: 19 + -15 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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