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Simplifying 46 + -1(2x + 4) = (x + 7) + x Reorder the terms: 46 + -1(4 + 2x) = (x + 7) + x 46 + (4 * -1 + 2x * -1) = (x + 7) + x 46 + (-4 + -2x) = (x + 7) + x Combine like terms: 46 + -4 = 42 42 + -2x = (x + 7) + x Reorder the terms: 42 + -2x = (7 + x) + x Remove parenthesis around (7 + x) 42 + -2x = 7 + x + x Combine like terms: x + x = 2x 42 + -2x = 7 + 2x Solving 42 + -2x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + -2x + -2x = 7 + 2x + -2x Combine like terms: -2x + -2x = -4x 42 + -4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -4x = 7 + 0 42 + -4x = 7 Add '-42' to each side of the equation. 42 + -42 + -4x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 7 + -42 -4x = 7 + -42 Combine like terms: 7 + -42 = -35 -4x = -35 Divide each side by '-4'. x = 8.75 Simplifying x = 8.75
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