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Simplifying 3(2x + -5) = 6(4x + 8) Reorder the terms: 3(-5 + 2x) = 6(4x + 8) (-5 * 3 + 2x * 3) = 6(4x + 8) (-15 + 6x) = 6(4x + 8) Reorder the terms: -15 + 6x = 6(8 + 4x) -15 + 6x = (8 * 6 + 4x * 6) -15 + 6x = (48 + 24x) Solving -15 + 6x = 48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + 6x + -24x = 48 + 24x + -24x Combine like terms: 6x + -24x = -18x -15 + -18x = 48 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + -18x = 48 + 0 -15 + -18x = 48 Add '15' to each side of the equation. -15 + 15 + -18x = 48 + 15 Combine like terms: -15 + 15 = 0 0 + -18x = 48 + 15 -18x = 48 + 15 Combine like terms: 48 + 15 = 63 -18x = 63 Divide each side by '-18'. x = -3.5 Simplifying x = -3.5
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