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Simplifying 6x + 4(3x + -5) = 8(2x + -3) Reorder the terms: 6x + 4(-5 + 3x) = 8(2x + -3) 6x + (-5 * 4 + 3x * 4) = 8(2x + -3) 6x + (-20 + 12x) = 8(2x + -3) Reorder the terms: -20 + 6x + 12x = 8(2x + -3) Combine like terms: 6x + 12x = 18x -20 + 18x = 8(2x + -3) Reorder the terms: -20 + 18x = 8(-3 + 2x) -20 + 18x = (-3 * 8 + 2x * 8) -20 + 18x = (-24 + 16x) Solving -20 + 18x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -20 + 18x + -16x = -24 + 16x + -16x Combine like terms: 18x + -16x = 2x -20 + 2x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 -20 + 2x = -24 + 0 -20 + 2x = -24 Add '20' to each side of the equation. -20 + 20 + 2x = -24 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -24 + 20 2x = -24 + 20 Combine like terms: -24 + 20 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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