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Simplifying 4(5 + -2x) + -2(3x + 4) = 6 + -18x (5 * 4 + -2x * 4) + -2(3x + 4) = 6 + -18x (20 + -8x) + -2(3x + 4) = 6 + -18x Reorder the terms: 20 + -8x + -2(4 + 3x) = 6 + -18x 20 + -8x + (4 * -2 + 3x * -2) = 6 + -18x 20 + -8x + (-8 + -6x) = 6 + -18x Reorder the terms: 20 + -8 + -8x + -6x = 6 + -18x Combine like terms: 20 + -8 = 12 12 + -8x + -6x = 6 + -18x Combine like terms: -8x + -6x = -14x 12 + -14x = 6 + -18x Solving 12 + -14x = 6 + -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. 12 + -14x + 18x = 6 + -18x + 18x Combine like terms: -14x + 18x = 4x 12 + 4x = 6 + -18x + 18x Combine like terms: -18x + 18x = 0 12 + 4x = 6 + 0 12 + 4x = 6 Add '-12' to each side of the equation. 12 + -12 + 4x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 6 + -12 4x = 6 + -12 Combine like terms: 6 + -12 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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