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Simplifying 2(x + -5) + -1(3x + 3) = x + -7 Reorder the terms: 2(-5 + x) + -1(3x + 3) = x + -7 (-5 * 2 + x * 2) + -1(3x + 3) = x + -7 (-10 + 2x) + -1(3x + 3) = x + -7 Reorder the terms: -10 + 2x + -1(3 + 3x) = x + -7 -10 + 2x + (3 * -1 + 3x * -1) = x + -7 -10 + 2x + (-3 + -3x) = x + -7 Reorder the terms: -10 + -3 + 2x + -3x = x + -7 Combine like terms: -10 + -3 = -13 -13 + 2x + -3x = x + -7 Combine like terms: 2x + -3x = -1x -13 + -1x = x + -7 Reorder the terms: -13 + -1x = -7 + x Solving -13 + -1x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + -1x + -1x = -7 + x + -1x Combine like terms: -1x + -1x = -2x -13 + -2x = -7 + x + -1x Combine like terms: x + -1x = 0 -13 + -2x = -7 + 0 -13 + -2x = -7 Add '13' to each side of the equation. -13 + 13 + -2x = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -7 + 13 -2x = -7 + 13 Combine like terms: -7 + 13 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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