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Simplifying 1(9x + -3) = 5(2x + 7) Reorder the terms: 1(-3 + 9x) = 5(2x + 7) (-3 * 1 + 9x * 1) = 5(2x + 7) (-3 + 9x) = 5(2x + 7) Reorder the terms: -3 + 9x = 5(7 + 2x) -3 + 9x = (7 * 5 + 2x * 5) -3 + 9x = (35 + 10x) Solving -3 + 9x = 35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 9x + -10x = 35 + 10x + -10x Combine like terms: 9x + -10x = -1x -3 + -1x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -1x = 35 + 0 -3 + -1x = 35 Add '3' to each side of the equation. -3 + 3 + -1x = 35 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 35 + 3 -1x = 35 + 3 Combine like terms: 35 + 3 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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