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Simplifying 3 + -18x + -1(6x + -4) = 10 + 3(2 + 4x) Reorder the terms: 3 + -18x + -1(-4 + 6x) = 10 + 3(2 + 4x) 3 + -18x + (-4 * -1 + 6x * -1) = 10 + 3(2 + 4x) 3 + -18x + (4 + -6x) = 10 + 3(2 + 4x) Reorder the terms: 3 + 4 + -18x + -6x = 10 + 3(2 + 4x) Combine like terms: 3 + 4 = 7 7 + -18x + -6x = 10 + 3(2 + 4x) Combine like terms: -18x + -6x = -24x 7 + -24x = 10 + 3(2 + 4x) 7 + -24x = 10 + (2 * 3 + 4x * 3) 7 + -24x = 10 + (6 + 12x) Combine like terms: 10 + 6 = 16 7 + -24x = 16 + 12x Solving 7 + -24x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + -24x + -12x = 16 + 12x + -12x Combine like terms: -24x + -12x = -36x 7 + -36x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -36x = 16 + 0 7 + -36x = 16 Add '-7' to each side of the equation. 7 + -7 + -36x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + -36x = 16 + -7 -36x = 16 + -7 Combine like terms: 16 + -7 = 9 -36x = 9 Divide each side by '-36'. x = -0.25 Simplifying x = -0.25
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