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Simplifying 3(5x + -2) = 18 + -1(2x + 3) Reorder the terms: 3(-2 + 5x) = 18 + -1(2x + 3) (-2 * 3 + 5x * 3) = 18 + -1(2x + 3) (-6 + 15x) = 18 + -1(2x + 3) Reorder the terms: -6 + 15x = 18 + -1(3 + 2x) -6 + 15x = 18 + (3 * -1 + 2x * -1) -6 + 15x = 18 + (-3 + -2x) Combine like terms: 18 + -3 = 15 -6 + 15x = 15 + -2x Solving -6 + 15x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 15x + 2x = 15 + -2x + 2x Combine like terms: 15x + 2x = 17x -6 + 17x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 17x = 15 + 0 -6 + 17x = 15 Add '6' to each side of the equation. -6 + 6 + 17x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = 15 + 6 17x = 15 + 6 Combine like terms: 15 + 6 = 21 17x = 21 Divide each side by '17'. x = 1.235294118 Simplifying x = 1.235294118
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