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Simplifying 3(x + -7) + 10 = 5x + -1(2 + 5) + -6 Reorder the terms: 3(-7 + x) + 10 = 5x + -1(2 + 5) + -6 (-7 * 3 + x * 3) + 10 = 5x + -1(2 + 5) + -6 (-21 + 3x) + 10 = 5x + -1(2 + 5) + -6 Reorder the terms: -21 + 10 + 3x = 5x + -1(2 + 5) + -6 Combine like terms: -21 + 10 = -11 -11 + 3x = 5x + -1(2 + 5) + -6 Combine like terms: 2 + 5 = 7 -11 + 3x = 5x + -1(7) + -6 Multiply -1 * 7 -11 + 3x = 5x + -7 + -6 Reorder the terms: -11 + 3x = -7 + -6 + 5x Combine like terms: -7 + -6 = -13 -11 + 3x = -13 + 5x Solving -11 + 3x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 3x + -5x = -13 + 5x + -5x Combine like terms: 3x + -5x = -2x -11 + -2x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + -2x = -13 + 0 -11 + -2x = -13 Add '11' to each side of the equation. -11 + 11 + -2x = -13 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -13 + 11 -2x = -13 + 11 Combine like terms: -13 + 11 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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