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Simplifying 3x + 4 + -9x = 11 + -1(x + 18) + 1 Reorder the terms: 4 + 3x + -9x = 11 + -1(x + 18) + 1 Combine like terms: 3x + -9x = -6x 4 + -6x = 11 + -1(x + 18) + 1 Reorder the terms: 4 + -6x = 11 + -1(18 + x) + 1 4 + -6x = 11 + (18 * -1 + x * -1) + 1 4 + -6x = 11 + (-18 + -1x) + 1 Reorder the terms: 4 + -6x = 11 + -18 + 1 + -1x Combine like terms: 11 + -18 = -7 4 + -6x = -7 + 1 + -1x Combine like terms: -7 + 1 = -6 4 + -6x = -6 + -1x Solving 4 + -6x = -6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + -6x + x = -6 + -1x + x Combine like terms: -6x + x = -5x 4 + -5x = -6 + -1x + x Combine like terms: -1x + x = 0 4 + -5x = -6 + 0 4 + -5x = -6 Add '-4' to each side of the equation. 4 + -4 + -5x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -6 + -4 -5x = -6 + -4 Combine like terms: -6 + -4 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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