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Simplifying 9(x + -3) + -10 = 7x + 1 Reorder the terms: 9(-3 + x) + -10 = 7x + 1 (-3 * 9 + x * 9) + -10 = 7x + 1 (-27 + 9x) + -10 = 7x + 1 Reorder the terms: -27 + -10 + 9x = 7x + 1 Combine like terms: -27 + -10 = -37 -37 + 9x = 7x + 1 Reorder the terms: -37 + 9x = 1 + 7x Solving -37 + 9x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -37 + 9x + -7x = 1 + 7x + -7x Combine like terms: 9x + -7x = 2x -37 + 2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -37 + 2x = 1 + 0 -37 + 2x = 1 Add '37' to each side of the equation. -37 + 37 + 2x = 1 + 37 Combine like terms: -37 + 37 = 0 0 + 2x = 1 + 37 2x = 1 + 37 Combine like terms: 1 + 37 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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