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Simplifying 15 + -1(3x + 1) = 4(x + 1) + 3x Reorder the terms: 15 + -1(1 + 3x) = 4(x + 1) + 3x 15 + (1 * -1 + 3x * -1) = 4(x + 1) + 3x 15 + (-1 + -3x) = 4(x + 1) + 3x Combine like terms: 15 + -1 = 14 14 + -3x = 4(x + 1) + 3x Reorder the terms: 14 + -3x = 4(1 + x) + 3x 14 + -3x = (1 * 4 + x * 4) + 3x 14 + -3x = (4 + 4x) + 3x Combine like terms: 4x + 3x = 7x 14 + -3x = 4 + 7x Solving 14 + -3x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + -3x + -7x = 4 + 7x + -7x Combine like terms: -3x + -7x = -10x 14 + -10x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -10x = 4 + 0 14 + -10x = 4 Add '-14' to each side of the equation. 14 + -14 + -10x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = 4 + -14 -10x = 4 + -14 Combine like terms: 4 + -14 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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