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Simplifying -5(2x + 5x) + -2(1 + -8x) = -8x + 7 + x + 1 Combine like terms: 2x + 5x = 7x -5(7x) + -2(1 + -8x) = -8x + 7 + x + 1 Remove parenthesis around (7x) -5 * 7x + -2(1 + -8x) = -8x + 7 + x + 1 Multiply -5 * 7 -35x + -2(1 + -8x) = -8x + 7 + x + 1 -35x + (1 * -2 + -8x * -2) = -8x + 7 + x + 1 -35x + (-2 + 16x) = -8x + 7 + x + 1 Reorder the terms: -2 + -35x + 16x = -8x + 7 + x + 1 Combine like terms: -35x + 16x = -19x -2 + -19x = -8x + 7 + x + 1 Reorder the terms: -2 + -19x = 7 + 1 + -8x + x Combine like terms: 7 + 1 = 8 -2 + -19x = 8 + -8x + x Combine like terms: -8x + x = -7x -2 + -19x = 8 + -7x Solving -2 + -19x = 8 + -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. -2 + -19x + 7x = 8 + -7x + 7x Combine like terms: -19x + 7x = -12x -2 + -12x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + -12x = 8 + 0 -2 + -12x = 8 Add '2' to each side of the equation. -2 + 2 + -12x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 8 + 2 -12x = 8 + 2 Combine like terms: 8 + 2 = 10 -12x = 10 Divide each side by '-12'. x = -0.8333333333 Simplifying x = -0.8333333333
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