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Simplifying 2 + -3(2 + 6x) = 4(x + 1) + 36 2 + (2 * -3 + 6x * -3) = 4(x + 1) + 36 2 + (-6 + -18x) = 4(x + 1) + 36 Combine like terms: 2 + -6 = -4 -4 + -18x = 4(x + 1) + 36 Reorder the terms: -4 + -18x = 4(1 + x) + 36 -4 + -18x = (1 * 4 + x * 4) + 36 -4 + -18x = (4 + 4x) + 36 Reorder the terms: -4 + -18x = 4 + 36 + 4x Combine like terms: 4 + 36 = 40 -4 + -18x = 40 + 4x Solving -4 + -18x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + -18x + -4x = 40 + 4x + -4x Combine like terms: -18x + -4x = -22x -4 + -22x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -22x = 40 + 0 -4 + -22x = 40 Add '4' to each side of the equation. -4 + 4 + -22x = 40 + 4 Combine like terms: -4 + 4 = 0 0 + -22x = 40 + 4 -22x = 40 + 4 Combine like terms: 40 + 4 = 44 -22x = 44 Divide each side by '-22'. x = -2 Simplifying x = -2
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