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Simplifying 2(x + -7) + 1 = 5(x + 3) + -1x Reorder the terms: 2(-7 + x) + 1 = 5(x + 3) + -1x (-7 * 2 + x * 2) + 1 = 5(x + 3) + -1x (-14 + 2x) + 1 = 5(x + 3) + -1x Reorder the terms: -14 + 1 + 2x = 5(x + 3) + -1x Combine like terms: -14 + 1 = -13 -13 + 2x = 5(x + 3) + -1x Reorder the terms: -13 + 2x = 5(3 + x) + -1x -13 + 2x = (3 * 5 + x * 5) + -1x -13 + 2x = (15 + 5x) + -1x Combine like terms: 5x + -1x = 4x -13 + 2x = 15 + 4x Solving -13 + 2x = 15 + 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. -13 + 2x + -4x = 15 + 4x + -4x Combine like terms: 2x + -4x = -2x -13 + -2x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -2x = 15 + 0 -13 + -2x = 15 Add '13' to each side of the equation. -13 + 13 + -2x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 15 + 13 -2x = 15 + 13 Combine like terms: 15 + 13 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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