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Simplifying x + -45 = 10(2x + 3) + -18 Reorder the terms: -45 + x = 10(2x + 3) + -18 Reorder the terms: -45 + x = 10(3 + 2x) + -18 -45 + x = (3 * 10 + 2x * 10) + -18 -45 + x = (30 + 20x) + -18 Reorder the terms: -45 + x = 30 + -18 + 20x Combine like terms: 30 + -18 = 12 -45 + x = 12 + 20x Solving -45 + x = 12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -45 + x + -20x = 12 + 20x + -20x Combine like terms: x + -20x = -19x -45 + -19x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 -45 + -19x = 12 + 0 -45 + -19x = 12 Add '45' to each side of the equation. -45 + 45 + -19x = 12 + 45 Combine like terms: -45 + 45 = 0 0 + -19x = 12 + 45 -19x = 12 + 45 Combine like terms: 12 + 45 = 57 -19x = 57 Divide each side by '-19'. x = -3 Simplifying x = -3
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