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Simplifying 10(x + -3) + -7 = 8x + 1 Reorder the terms: 10(-3 + x) + -7 = 8x + 1 (-3 * 10 + x * 10) + -7 = 8x + 1 (-30 + 10x) + -7 = 8x + 1 Reorder the terms: -30 + -7 + 10x = 8x + 1 Combine like terms: -30 + -7 = -37 -37 + 10x = 8x + 1 Reorder the terms: -37 + 10x = 1 + 8x Solving -37 + 10x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -37 + 10x + -8x = 1 + 8x + -8x Combine like terms: 10x + -8x = 2x -37 + 2x = 1 + 8x + -8x Combine like terms: 8x + -8x = 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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