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Simplifying 4(x + 3) + -15 = 2(x + 7) + -15x Reorder the terms: 4(3 + x) + -15 = 2(x + 7) + -15x (3 * 4 + x * 4) + -15 = 2(x + 7) + -15x (12 + 4x) + -15 = 2(x + 7) + -15x Reorder the terms: 12 + -15 + 4x = 2(x + 7) + -15x Combine like terms: 12 + -15 = -3 -3 + 4x = 2(x + 7) + -15x Reorder the terms: -3 + 4x = 2(7 + x) + -15x -3 + 4x = (7 * 2 + x * 2) + -15x -3 + 4x = (14 + 2x) + -15x Combine like terms: 2x + -15x = -13x -3 + 4x = 14 + -13x Solving -3 + 4x = 14 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -3 + 4x + 13x = 14 + -13x + 13x Combine like terms: 4x + 13x = 17x -3 + 17x = 14 + -13x + 13x Combine like terms: -13x + 13x = 0 -3 + 17x = 14 + 0 -3 + 17x = 14 Add '3' to each side of the equation. -3 + 3 + 17x = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 17x = 14 + 3 17x = 14 + 3 Combine like terms: 14 + 3 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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