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Simplifying 51 + -1(4 + x) = 3(4 + x) 51 + (4 * -1 + x * -1) = 3(4 + x) 51 + (-4 + -1x) = 3(4 + x) Combine like terms: 51 + -4 = 47 47 + -1x = 3(4 + x) 47 + -1x = (4 * 3 + x * 3) 47 + -1x = (12 + 3x) Solving 47 + -1x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 47 + -1x + -3x = 12 + 3x + -3x Combine like terms: -1x + -3x = -4x 47 + -4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 47 + -4x = 12 + 0 47 + -4x = 12 Add '-47' to each side of the equation. 47 + -47 + -4x = 12 + -47 Combine like terms: 47 + -47 = 0 0 + -4x = 12 + -47 -4x = 12 + -47 Combine like terms: 12 + -47 = -35 -4x = -35 Divide each side by '-4'. x = 8.75 Simplifying x = 8.75
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