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Simplifying 6(3x + -1) = 5(4x + 4) Reorder the terms: 6(-1 + 3x) = 5(4x + 4) (-1 * 6 + 3x * 6) = 5(4x + 4) (-6 + 18x) = 5(4x + 4) Reorder the terms: -6 + 18x = 5(4 + 4x) -6 + 18x = (4 * 5 + 4x * 5) -6 + 18x = (20 + 20x) Solving -6 + 18x = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + 18x + -20x = 20 + 20x + -20x Combine like terms: 18x + -20x = -2x -6 + -2x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -2x = 20 + 0 -6 + -2x = 20 Add '6' to each side of the equation. -6 + 6 + -2x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 20 + 6 -2x = 20 + 6 Combine like terms: 20 + 6 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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