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Simplifying 4 + 6(4x + -5) = 3 + 6(2x + -1) + -18(1 + -2x) + 1 Reorder the terms: 4 + 6(-5 + 4x) = 3 + 6(2x + -1) + -18(1 + -2x) + 1 4 + (-5 * 6 + 4x * 6) = 3 + 6(2x + -1) + -18(1 + -2x) + 1 4 + (-30 + 24x) = 3 + 6(2x + -1) + -18(1 + -2x) + 1 Combine like terms: 4 + -30 = -26 -26 + 24x = 3 + 6(2x + -1) + -18(1 + -2x) + 1 Reorder the terms: -26 + 24x = 3 + 6(-1 + 2x) + -18(1 + -2x) + 1 -26 + 24x = 3 + (-1 * 6 + 2x * 6) + -18(1 + -2x) + 1 -26 + 24x = 3 + (-6 + 12x) + -18(1 + -2x) + 1 -26 + 24x = 3 + -6 + 12x + (1 * -18 + -2x * -18) + 1 -26 + 24x = 3 + -6 + 12x + (-18 + 36x) + 1 Reorder the terms: -26 + 24x = 3 + -6 + -18 + 1 + 12x + 36x Combine like terms: 3 + -6 = -3 -26 + 24x = -3 + -18 + 1 + 12x + 36x Combine like terms: -3 + -18 = -21 -26 + 24x = -21 + 1 + 12x + 36x Combine like terms: -21 + 1 = -20 -26 + 24x = -20 + 12x + 36x Combine like terms: 12x + 36x = 48x -26 + 24x = -20 + 48x Solving -26 + 24x = -20 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -26 + 24x + -48x = -20 + 48x + -48x Combine like terms: 24x + -48x = -24x -26 + -24x = -20 + 48x + -48x Combine like terms: 48x + -48x = 0 -26 + -24x = -20 + 0 -26 + -24x = -20 Add '26' to each side of the equation. -26 + 26 + -24x = -20 + 26 Combine like terms: -26 + 26 = 0 0 + -24x = -20 + 26 -24x = -20 + 26 Combine like terms: -20 + 26 = 6 -24x = 6 Divide each side by '-24'. x = -0.25 Simplifying x = -0.25
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