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Simplifying -10 + 7(x + 3) = 4(2x + -1) + 5 Reorder the terms: -10 + 7(3 + x) = 4(2x + -1) + 5 -10 + (3 * 7 + x * 7) = 4(2x + -1) + 5 -10 + (21 + 7x) = 4(2x + -1) + 5 Combine like terms: -10 + 21 = 11 11 + 7x = 4(2x + -1) + 5 Reorder the terms: 11 + 7x = 4(-1 + 2x) + 5 11 + 7x = (-1 * 4 + 2x * 4) + 5 11 + 7x = (-4 + 8x) + 5 Reorder the terms: 11 + 7x = -4 + 5 + 8x Combine like terms: -4 + 5 = 1 11 + 7x = 1 + 8x Solving 11 + 7x = 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. 11 + 7x + -8x = 1 + 8x + -8x Combine like terms: 7x + -8x = -1x 11 + -1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -1x = 1 + 0 11 + -1x = 1 Add '-11' to each side of the equation. 11 + -11 + -1x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 1 + -11 -1x = 1 + -11 Combine like terms: 1 + -11 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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