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Simplifying 5(3x + -4) + 2(x + 2) = 10 + -1(x + -1) Reorder the terms: 5(-4 + 3x) + 2(x + 2) = 10 + -1(x + -1) (-4 * 5 + 3x * 5) + 2(x + 2) = 10 + -1(x + -1) (-20 + 15x) + 2(x + 2) = 10 + -1(x + -1) Reorder the terms: -20 + 15x + 2(2 + x) = 10 + -1(x + -1) -20 + 15x + (2 * 2 + x * 2) = 10 + -1(x + -1) -20 + 15x + (4 + 2x) = 10 + -1(x + -1) Reorder the terms: -20 + 4 + 15x + 2x = 10 + -1(x + -1) Combine like terms: -20 + 4 = -16 -16 + 15x + 2x = 10 + -1(x + -1) Combine like terms: 15x + 2x = 17x -16 + 17x = 10 + -1(x + -1) Reorder the terms: -16 + 17x = 10 + -1(-1 + x) -16 + 17x = 10 + (-1 * -1 + x * -1) -16 + 17x = 10 + (1 + -1x) Combine like terms: 10 + 1 = 11 -16 + 17x = 11 + -1x Solving -16 + 17x = 11 + -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. -16 + 17x + x = 11 + -1x + x Combine like terms: 17x + x = 18x -16 + 18x = 11 + -1x + x Combine like terms: -1x + x = 0 -16 + 18x = 11 + 0 -16 + 18x = 11 Add '16' to each side of the equation. -16 + 16 + 18x = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 18x = 11 + 16 18x = 11 + 16 Combine like terms: 11 + 16 = 27 18x = 27 Divide each side by '18'. x = 1.5 Simplifying x = 1.5
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