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Simplifying 8(3x + -1) + -5(3x + 2) = 3(2x + -1) Reorder the terms: 8(-1 + 3x) + -5(3x + 2) = 3(2x + -1) (-1 * 8 + 3x * 8) + -5(3x + 2) = 3(2x + -1) (-8 + 24x) + -5(3x + 2) = 3(2x + -1) Reorder the terms: -8 + 24x + -5(2 + 3x) = 3(2x + -1) -8 + 24x + (2 * -5 + 3x * -5) = 3(2x + -1) -8 + 24x + (-10 + -15x) = 3(2x + -1) Reorder the terms: -8 + -10 + 24x + -15x = 3(2x + -1) Combine like terms: -8 + -10 = -18 -18 + 24x + -15x = 3(2x + -1) Combine like terms: 24x + -15x = 9x -18 + 9x = 3(2x + -1) Reorder the terms: -18 + 9x = 3(-1 + 2x) -18 + 9x = (-1 * 3 + 2x * 3) -18 + 9x = (-3 + 6x) Solving -18 + 9x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 9x + -6x = -3 + 6x + -6x Combine like terms: 9x + -6x = 3x -18 + 3x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 3x = -3 + 0 -18 + 3x = -3 Add '18' to each side of the equation. -18 + 18 + 3x = -3 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -3 + 18 3x = -3 + 18 Combine like terms: -3 + 18 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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