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Simplifying 3(2x + -4) + -5(2x + -6) = 4x + 24 Reorder the terms: 3(-4 + 2x) + -5(2x + -6) = 4x + 24 (-4 * 3 + 2x * 3) + -5(2x + -6) = 4x + 24 (-12 + 6x) + -5(2x + -6) = 4x + 24 Reorder the terms: -12 + 6x + -5(-6 + 2x) = 4x + 24 -12 + 6x + (-6 * -5 + 2x * -5) = 4x + 24 -12 + 6x + (30 + -10x) = 4x + 24 Reorder the terms: -12 + 30 + 6x + -10x = 4x + 24 Combine like terms: -12 + 30 = 18 18 + 6x + -10x = 4x + 24 Combine like terms: 6x + -10x = -4x 18 + -4x = 4x + 24 Reorder the terms: 18 + -4x = 24 + 4x Solving 18 + -4x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + -4x + -4x = 24 + 4x + -4x Combine like terms: -4x + -4x = -8x 18 + -8x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -8x = 24 + 0 18 + -8x = 24 Add '-18' to each side of the equation. 18 + -18 + -8x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 24 + -18 -8x = 24 + -18 Combine like terms: 24 + -18 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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