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Simplifying 5(3 + -1x) + -3(7 + -1x) = 4 + -1(x + -13) (3 * 5 + -1x * 5) + -3(7 + -1x) = 4 + -1(x + -13) (15 + -5x) + -3(7 + -1x) = 4 + -1(x + -13) 15 + -5x + (7 * -3 + -1x * -3) = 4 + -1(x + -13) 15 + -5x + (-21 + 3x) = 4 + -1(x + -13) Reorder the terms: 15 + -21 + -5x + 3x = 4 + -1(x + -13) Combine like terms: 15 + -21 = -6 -6 + -5x + 3x = 4 + -1(x + -13) Combine like terms: -5x + 3x = -2x -6 + -2x = 4 + -1(x + -13) Reorder the terms: -6 + -2x = 4 + -1(-13 + x) -6 + -2x = 4 + (-13 * -1 + x * -1) -6 + -2x = 4 + (13 + -1x) Combine like terms: 4 + 13 = 17 -6 + -2x = 17 + -1x Solving -6 + -2x = 17 + -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. -6 + -2x + x = 17 + -1x + x Combine like terms: -2x + x = -1x -6 + -1x = 17 + -1x + x Combine like terms: -1x + x = 0 -6 + -1x = 17 + 0 -6 + -1x = 17 Add '6' to each side of the equation. -6 + 6 + -1x = 17 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 17 + 6 -1x = 17 + 6 Combine like terms: 17 + 6 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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