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Simplifying 5(x + -3) + -3(4 + -2x) = 3 + -6(8 + -3x) Reorder the terms: 5(-3 + x) + -3(4 + -2x) = 3 + -6(8 + -3x) (-3 * 5 + x * 5) + -3(4 + -2x) = 3 + -6(8 + -3x) (-15 + 5x) + -3(4 + -2x) = 3 + -6(8 + -3x) -15 + 5x + (4 * -3 + -2x * -3) = 3 + -6(8 + -3x) -15 + 5x + (-12 + 6x) = 3 + -6(8 + -3x) Reorder the terms: -15 + -12 + 5x + 6x = 3 + -6(8 + -3x) Combine like terms: -15 + -12 = -27 -27 + 5x + 6x = 3 + -6(8 + -3x) Combine like terms: 5x + 6x = 11x -27 + 11x = 3 + -6(8 + -3x) -27 + 11x = 3 + (8 * -6 + -3x * -6) -27 + 11x = 3 + (-48 + 18x) Combine like terms: 3 + -48 = -45 -27 + 11x = -45 + 18x Solving -27 + 11x = -45 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -27 + 11x + -18x = -45 + 18x + -18x Combine like terms: 11x + -18x = -7x -27 + -7x = -45 + 18x + -18x Combine like terms: 18x + -18x = 0 -27 + -7x = -45 + 0 -27 + -7x = -45 Add '27' to each side of the equation. -27 + 27 + -7x = -45 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = -45 + 27 -7x = -45 + 27 Combine like terms: -45 + 27 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571
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