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Simplifying 7x + 4(x + -1) = 10x + -2(x + -9) + 1 Reorder the terms: 7x + 4(-1 + x) = 10x + -2(x + -9) + 1 7x + (-1 * 4 + x * 4) = 10x + -2(x + -9) + 1 7x + (-4 + 4x) = 10x + -2(x + -9) + 1 Reorder the terms: -4 + 7x + 4x = 10x + -2(x + -9) + 1 Combine like terms: 7x + 4x = 11x -4 + 11x = 10x + -2(x + -9) + 1 Reorder the terms: -4 + 11x = 10x + -2(-9 + x) + 1 -4 + 11x = 10x + (-9 * -2 + x * -2) + 1 -4 + 11x = 10x + (18 + -2x) + 1 Reorder the terms: -4 + 11x = 18 + 1 + 10x + -2x Combine like terms: 18 + 1 = 19 -4 + 11x = 19 + 10x + -2x Combine like terms: 10x + -2x = 8x -4 + 11x = 19 + 8x Solving -4 + 11x = 19 + 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. -4 + 11x + -8x = 19 + 8x + -8x Combine like terms: 11x + -8x = 3x -4 + 3x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 3x = 19 + 0 -4 + 3x = 19 Add '4' to each side of the equation. -4 + 4 + 3x = 19 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 19 + 4 3x = 19 + 4 Combine like terms: 19 + 4 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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