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Simplifying 5(9 + -3x) + 10x = 3(7 + -1x) (9 * 5 + -3x * 5) + 10x = 3(7 + -1x) (45 + -15x) + 10x = 3(7 + -1x) Combine like terms: -15x + 10x = -5x 45 + -5x = 3(7 + -1x) 45 + -5x = (7 * 3 + -1x * 3) 45 + -5x = (21 + -3x) Solving 45 + -5x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 45 + -5x + 3x = 21 + -3x + 3x Combine like terms: -5x + 3x = -2x 45 + -2x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + -2x = 21 + 0 45 + -2x = 21 Add '-45' to each side of the equation. 45 + -45 + -2x = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 21 + -45 -2x = 21 + -45 Combine like terms: 21 + -45 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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