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Simplifying 9(2x + -6) + -1(x + 3) = 4x + -18 Reorder the terms: 9(-6 + 2x) + -1(x + 3) = 4x + -18 (-6 * 9 + 2x * 9) + -1(x + 3) = 4x + -18 (-54 + 18x) + -1(x + 3) = 4x + -18 Reorder the terms: -54 + 18x + -1(3 + x) = 4x + -18 -54 + 18x + (3 * -1 + x * -1) = 4x + -18 -54 + 18x + (-3 + -1x) = 4x + -18 Reorder the terms: -54 + -3 + 18x + -1x = 4x + -18 Combine like terms: -54 + -3 = -57 -57 + 18x + -1x = 4x + -18 Combine like terms: 18x + -1x = 17x -57 + 17x = 4x + -18 Reorder the terms: -57 + 17x = -18 + 4x Solving -57 + 17x = -18 + 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. -57 + 17x + -4x = -18 + 4x + -4x Combine like terms: 17x + -4x = 13x -57 + 13x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -57 + 13x = -18 + 0 -57 + 13x = -18 Add '57' to each side of the equation. -57 + 57 + 13x = -18 + 57 Combine like terms: -57 + 57 = 0 0 + 13x = -18 + 57 13x = -18 + 57 Combine like terms: -18 + 57 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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