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Simplifying 4(3x + -5) + 2x = 6(3x + -4) Reorder the terms: 4(-5 + 3x) + 2x = 6(3x + -4) (-5 * 4 + 3x * 4) + 2x = 6(3x + -4) (-20 + 12x) + 2x = 6(3x + -4) Combine like terms: 12x + 2x = 14x -20 + 14x = 6(3x + -4) Reorder the terms: -20 + 14x = 6(-4 + 3x) -20 + 14x = (-4 * 6 + 3x * 6) -20 + 14x = (-24 + 18x) Solving -20 + 14x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -20 + 14x + -18x = -24 + 18x + -18x Combine like terms: 14x + -18x = -4x -20 + -4x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 -20 + -4x = -24 + 0 -20 + -4x = -24 Add '20' to each side of the equation. -20 + 20 + -4x = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -24 + 20 -4x = -24 + 20 Combine like terms: -24 + 20 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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