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Simplifying 3(2x + -1) + -1(4x + 3) = 3(3x + 5) Reorder the terms: 3(-1 + 2x) + -1(4x + 3) = 3(3x + 5) (-1 * 3 + 2x * 3) + -1(4x + 3) = 3(3x + 5) (-3 + 6x) + -1(4x + 3) = 3(3x + 5) Reorder the terms: -3 + 6x + -1(3 + 4x) = 3(3x + 5) -3 + 6x + (3 * -1 + 4x * -1) = 3(3x + 5) -3 + 6x + (-3 + -4x) = 3(3x + 5) Reorder the terms: -3 + -3 + 6x + -4x = 3(3x + 5) Combine like terms: -3 + -3 = -6 -6 + 6x + -4x = 3(3x + 5) Combine like terms: 6x + -4x = 2x -6 + 2x = 3(3x + 5) Reorder the terms: -6 + 2x = 3(5 + 3x) -6 + 2x = (5 * 3 + 3x * 3) -6 + 2x = (15 + 9x) Solving -6 + 2x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 2x + -9x = 15 + 9x + -9x Combine like terms: 2x + -9x = -7x -6 + -7x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -7x = 15 + 0 -6 + -7x = 15 Add '6' to each side of the equation. -6 + 6 + -7x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 15 + 6 -7x = 15 + 6 Combine like terms: 15 + 6 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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