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Simplifying 3(x + -5) + -1(2x + 4) = -1x + 7 Reorder the terms: 3(-5 + x) + -1(2x + 4) = -1x + 7 (-5 * 3 + x * 3) + -1(2x + 4) = -1x + 7 (-15 + 3x) + -1(2x + 4) = -1x + 7 Reorder the terms: -15 + 3x + -1(4 + 2x) = -1x + 7 -15 + 3x + (4 * -1 + 2x * -1) = -1x + 7 -15 + 3x + (-4 + -2x) = -1x + 7 Reorder the terms: -15 + -4 + 3x + -2x = -1x + 7 Combine like terms: -15 + -4 = -19 -19 + 3x + -2x = -1x + 7 Combine like terms: 3x + -2x = 1x -19 + 1x = -1x + 7 Reorder the terms: -19 + 1x = 7 + -1x Solving -19 + 1x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -19 + 1x + x = 7 + -1x + x Combine like terms: 1x + x = 2x -19 + 2x = 7 + -1x + x Combine like terms: -1x + x = 0 -19 + 2x = 7 + 0 -19 + 2x = 7 Add '19' to each side of the equation. -19 + 19 + 2x = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 7 + 19 2x = 7 + 19 Combine like terms: 7 + 19 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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