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Simplifying 8x + -1(x + -42) = 2x + -1(5.25 + x) Reorder the terms: 8x + -1(-42 + x) = 2x + -1(5.25 + x) 8x + (-42 * -1 + x * -1) = 2x + -1(5.25 + x) 8x + (42 + -1x) = 2x + -1(5.25 + x) Reorder the terms: 42 + 8x + -1x = 2x + -1(5.25 + x) Combine like terms: 8x + -1x = 7x 42 + 7x = 2x + -1(5.25 + x) 42 + 7x = 2x + (5.25 * -1 + x * -1) 42 + 7x = 2x + (-5.25 + -1x) Reorder the terms: 42 + 7x = -5.25 + 2x + -1x Combine like terms: 2x + -1x = 1x 42 + 7x = -5.25 + 1x Solving 42 + 7x = -5.25 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + 7x + -1x = -5.25 + 1x + -1x Combine like terms: 7x + -1x = 6x 42 + 6x = -5.25 + 1x + -1x Combine like terms: 1x + -1x = 0 42 + 6x = -5.25 + 0 42 + 6x = -5.25 Add '-42' to each side of the equation. 42 + -42 + 6x = -5.25 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = -5.25 + -42 6x = -5.25 + -42 Combine like terms: -5.25 + -42 = -47.25 6x = -47.25 Divide each side by '6'. x = -7.875 Simplifying x = -7.875
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