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Simplifying 115 + -1(7x + 12) = 7(x + 4) + x Reorder the terms: 115 + -1(12 + 7x) = 7(x + 4) + x 115 + (12 * -1 + 7x * -1) = 7(x + 4) + x 115 + (-12 + -7x) = 7(x + 4) + x Combine like terms: 115 + -12 = 103 103 + -7x = 7(x + 4) + x Reorder the terms: 103 + -7x = 7(4 + x) + x 103 + -7x = (4 * 7 + x * 7) + x 103 + -7x = (28 + 7x) + x Combine like terms: 7x + x = 8x 103 + -7x = 28 + 8x Solving 103 + -7x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 103 + -7x + -8x = 28 + 8x + -8x Combine like terms: -7x + -8x = -15x 103 + -15x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 103 + -15x = 28 + 0 103 + -15x = 28 Add '-103' to each side of the equation. 103 + -103 + -15x = 28 + -103 Combine like terms: 103 + -103 = 0 0 + -15x = 28 + -103 -15x = 28 + -103 Combine like terms: 28 + -103 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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