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Simplifying 4x + -1(x + 6) = 5(3x + -1) + -18 Reorder the terms: 4x + -1(6 + x) = 5(3x + -1) + -18 4x + (6 * -1 + x * -1) = 5(3x + -1) + -18 4x + (-6 + -1x) = 5(3x + -1) + -18 Reorder the terms: -6 + 4x + -1x = 5(3x + -1) + -18 Combine like terms: 4x + -1x = 3x -6 + 3x = 5(3x + -1) + -18 Reorder the terms: -6 + 3x = 5(-1 + 3x) + -18 -6 + 3x = (-1 * 5 + 3x * 5) + -18 -6 + 3x = (-5 + 15x) + -18 Reorder the terms: -6 + 3x = -5 + -18 + 15x Combine like terms: -5 + -18 = -23 -6 + 3x = -23 + 15x Solving -6 + 3x = -23 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + 3x + -15x = -23 + 15x + -15x Combine like terms: 3x + -15x = -12x -6 + -12x = -23 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -12x = -23 + 0 -6 + -12x = -23 Add '6' to each side of the equation. -6 + 6 + -12x = -23 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = -23 + 6 -12x = -23 + 6 Combine like terms: -23 + 6 = -17 -12x = -17 Divide each side by '-12'. x = 1.416666667 Simplifying x = 1.416666667
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