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Simplifying 9(-2x + 1) + -2(3x + 4) = 49 Reorder the terms: 9(1 + -2x) + -2(3x + 4) = 49 (1 * 9 + -2x * 9) + -2(3x + 4) = 49 (9 + -18x) + -2(3x + 4) = 49 Reorder the terms: 9 + -18x + -2(4 + 3x) = 49 9 + -18x + (4 * -2 + 3x * -2) = 49 9 + -18x + (-8 + -6x) = 49 Reorder the terms: 9 + -8 + -18x + -6x = 49 Combine like terms: 9 + -8 = 1 1 + -18x + -6x = 49 Combine like terms: -18x + -6x = -24x 1 + -24x = 49 Solving 1 + -24x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -24x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + -24x = 49 + -1 -24x = 49 + -1 Combine like terms: 49 + -1 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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