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Simplifying 3(2x + -3) + -4(x + 5) = 3(x + -8) + 2(3x + -1) Reorder the terms: 3(-3 + 2x) + -4(x + 5) = 3(x + -8) + 2(3x + -1) (-3 * 3 + 2x * 3) + -4(x + 5) = 3(x + -8) + 2(3x + -1) (-9 + 6x) + -4(x + 5) = 3(x + -8) + 2(3x + -1) Reorder the terms: -9 + 6x + -4(5 + x) = 3(x + -8) + 2(3x + -1) -9 + 6x + (5 * -4 + x * -4) = 3(x + -8) + 2(3x + -1) -9 + 6x + (-20 + -4x) = 3(x + -8) + 2(3x + -1) Reorder the terms: -9 + -20 + 6x + -4x = 3(x + -8) + 2(3x + -1) Combine like terms: -9 + -20 = -29 -29 + 6x + -4x = 3(x + -8) + 2(3x + -1) Combine like terms: 6x + -4x = 2x -29 + 2x = 3(x + -8) + 2(3x + -1) Reorder the terms: -29 + 2x = 3(-8 + x) + 2(3x + -1) -29 + 2x = (-8 * 3 + x * 3) + 2(3x + -1) -29 + 2x = (-24 + 3x) + 2(3x + -1) Reorder the terms: -29 + 2x = -24 + 3x + 2(-1 + 3x) -29 + 2x = -24 + 3x + (-1 * 2 + 3x * 2) -29 + 2x = -24 + 3x + (-2 + 6x) Reorder the terms: -29 + 2x = -24 + -2 + 3x + 6x Combine like terms: -24 + -2 = -26 -29 + 2x = -26 + 3x + 6x Combine like terms: 3x + 6x = 9x -29 + 2x = -26 + 9x Solving -29 + 2x = -26 + 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. -29 + 2x + -9x = -26 + 9x + -9x Combine like terms: 2x + -9x = -7x -29 + -7x = -26 + 9x + -9x Combine like terms: 9x + -9x = 0 -29 + -7x = -26 + 0 -29 + -7x = -26 Add '29' to each side of the equation. -29 + 29 + -7x = -26 + 29 Combine like terms: -29 + 29 = 0 0 + -7x = -26 + 29 -7x = -26 + 29 Combine like terms: -26 + 29 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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