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Simplifying 6(x + -2) + -4(x + -3) = 9(3x + -1) + 5(x + -2) Reorder the terms: 6(-2 + x) + -4(x + -3) = 9(3x + -1) + 5(x + -2) (-2 * 6 + x * 6) + -4(x + -3) = 9(3x + -1) + 5(x + -2) (-12 + 6x) + -4(x + -3) = 9(3x + -1) + 5(x + -2) Reorder the terms: -12 + 6x + -4(-3 + x) = 9(3x + -1) + 5(x + -2) -12 + 6x + (-3 * -4 + x * -4) = 9(3x + -1) + 5(x + -2) -12 + 6x + (12 + -4x) = 9(3x + -1) + 5(x + -2) Reorder the terms: -12 + 12 + 6x + -4x = 9(3x + -1) + 5(x + -2) Combine like terms: -12 + 12 = 0 0 + 6x + -4x = 9(3x + -1) + 5(x + -2) 6x + -4x = 9(3x + -1) + 5(x + -2) Combine like terms: 6x + -4x = 2x 2x = 9(3x + -1) + 5(x + -2) Reorder the terms: 2x = 9(-1 + 3x) + 5(x + -2) 2x = (-1 * 9 + 3x * 9) + 5(x + -2) 2x = (-9 + 27x) + 5(x + -2) Reorder the terms: 2x = -9 + 27x + 5(-2 + x) 2x = -9 + 27x + (-2 * 5 + x * 5) 2x = -9 + 27x + (-10 + 5x) Reorder the terms: 2x = -9 + -10 + 27x + 5x Combine like terms: -9 + -10 = -19 2x = -19 + 27x + 5x Combine like terms: 27x + 5x = 32x 2x = -19 + 32x Solving 2x = -19 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 2x + -32x = -19 + 32x + -32x Combine like terms: 2x + -32x = -30x -30x = -19 + 32x + -32x Combine like terms: 32x + -32x = 0 -30x = -19 + 0 -30x = -19 Divide each side by '-30'. x = 0.6333333333 Simplifying x = 0.6333333333
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