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Simplifying 3x + -8(2x + -3) = -6(2x + 5) Reorder the terms: 3x + -8(-3 + 2x) = -6(2x + 5) 3x + (-3 * -8 + 2x * -8) = -6(2x + 5) 3x + (24 + -16x) = -6(2x + 5) Reorder the terms: 24 + 3x + -16x = -6(2x + 5) Combine like terms: 3x + -16x = -13x 24 + -13x = -6(2x + 5) Reorder the terms: 24 + -13x = -6(5 + 2x) 24 + -13x = (5 * -6 + 2x * -6) 24 + -13x = (-30 + -12x) Solving 24 + -13x = -30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 24 + -13x + 12x = -30 + -12x + 12x Combine like terms: -13x + 12x = -1x 24 + -1x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + -1x = -30 + 0 24 + -1x = -30 Add '-24' to each side of the equation. 24 + -24 + -1x = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -30 + -24 -1x = -30 + -24 Combine like terms: -30 + -24 = -54 -1x = -54 Divide each side by '-1'. x = 54 Simplifying x = 54
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