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Simplifying 5(2 + -3x) + -3(x + -1) = 3 + -1(x + 7) (2 * 5 + -3x * 5) + -3(x + -1) = 3 + -1(x + 7) (10 + -15x) + -3(x + -1) = 3 + -1(x + 7) Reorder the terms: 10 + -15x + -3(-1 + x) = 3 + -1(x + 7) 10 + -15x + (-1 * -3 + x * -3) = 3 + -1(x + 7) 10 + -15x + (3 + -3x) = 3 + -1(x + 7) Reorder the terms: 10 + 3 + -15x + -3x = 3 + -1(x + 7) Combine like terms: 10 + 3 = 13 13 + -15x + -3x = 3 + -1(x + 7) Combine like terms: -15x + -3x = -18x 13 + -18x = 3 + -1(x + 7) Reorder the terms: 13 + -18x = 3 + -1(7 + x) 13 + -18x = 3 + (7 * -1 + x * -1) 13 + -18x = 3 + (-7 + -1x) Combine like terms: 3 + -7 = -4 13 + -18x = -4 + -1x Solving 13 + -18x = -4 + -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. 13 + -18x + x = -4 + -1x + x Combine like terms: -18x + x = -17x 13 + -17x = -4 + -1x + x Combine like terms: -1x + x = 0 13 + -17x = -4 + 0 13 + -17x = -4 Add '-13' to each side of the equation. 13 + -13 + -17x = -4 + -13 Combine like terms: 13 + -13 = 0 0 + -17x = -4 + -13 -17x = -4 + -13 Combine like terms: -4 + -13 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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