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Simplifying -3(x + 5) + 6(3x + -4) = 7(x + 3) + -1(2x + 6) Reorder the terms: -3(5 + x) + 6(3x + -4) = 7(x + 3) + -1(2x + 6) (5 * -3 + x * -3) + 6(3x + -4) = 7(x + 3) + -1(2x + 6) (-15 + -3x) + 6(3x + -4) = 7(x + 3) + -1(2x + 6) Reorder the terms: -15 + -3x + 6(-4 + 3x) = 7(x + 3) + -1(2x + 6) -15 + -3x + (-4 * 6 + 3x * 6) = 7(x + 3) + -1(2x + 6) -15 + -3x + (-24 + 18x) = 7(x + 3) + -1(2x + 6) Reorder the terms: -15 + -24 + -3x + 18x = 7(x + 3) + -1(2x + 6) Combine like terms: -15 + -24 = -39 -39 + -3x + 18x = 7(x + 3) + -1(2x + 6) Combine like terms: -3x + 18x = 15x -39 + 15x = 7(x + 3) + -1(2x + 6) Reorder the terms: -39 + 15x = 7(3 + x) + -1(2x + 6) -39 + 15x = (3 * 7 + x * 7) + -1(2x + 6) -39 + 15x = (21 + 7x) + -1(2x + 6) Reorder the terms: -39 + 15x = 21 + 7x + -1(6 + 2x) -39 + 15x = 21 + 7x + (6 * -1 + 2x * -1) -39 + 15x = 21 + 7x + (-6 + -2x) Reorder the terms: -39 + 15x = 21 + -6 + 7x + -2x Combine like terms: 21 + -6 = 15 -39 + 15x = 15 + 7x + -2x Combine like terms: 7x + -2x = 5x -39 + 15x = 15 + 5x Solving -39 + 15x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -39 + 15x + -5x = 15 + 5x + -5x Combine like terms: 15x + -5x = 10x -39 + 10x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -39 + 10x = 15 + 0 -39 + 10x = 15 Add '39' to each side of the equation. -39 + 39 + 10x = 15 + 39 Combine like terms: -39 + 39 = 0 0 + 10x = 15 + 39 10x = 15 + 39 Combine like terms: 15 + 39 = 54 10x = 54 Divide each side by '10'. x = 5.4 Simplifying x = 5.4
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