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Simplifying 3(x + -5) + 2 = 7(2 + -1x) + 1 Reorder the terms: 3(-5 + x) + 2 = 7(2 + -1x) + 1 (-5 * 3 + x * 3) + 2 = 7(2 + -1x) + 1 (-15 + 3x) + 2 = 7(2 + -1x) + 1 Reorder the terms: -15 + 2 + 3x = 7(2 + -1x) + 1 Combine like terms: -15 + 2 = -13 -13 + 3x = 7(2 + -1x) + 1 -13 + 3x = (2 * 7 + -1x * 7) + 1 -13 + 3x = (14 + -7x) + 1 Reorder the terms: -13 + 3x = 14 + 1 + -7x Combine like terms: 14 + 1 = 15 -13 + 3x = 15 + -7x Solving -13 + 3x = 15 + -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. -13 + 3x + 7x = 15 + -7x + 7x Combine like terms: 3x + 7x = 10x -13 + 10x = 15 + -7x + 7x Combine like terms: -7x + 7x = 0 -13 + 10x = 15 + 0 -13 + 10x = 15 Add '13' to each side of the equation. -13 + 13 + 10x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 15 + 13 10x = 15 + 13 Combine like terms: 15 + 13 = 28 10x = 28 Divide each side by '10'. x = 2.8 Simplifying x = 2.8
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