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Simplifying 5(7 + -1x) + -3(x + 4) = 1 (7 * 5 + -1x * 5) + -3(x + 4) = 1 (35 + -5x) + -3(x + 4) = 1 Reorder the terms: 35 + -5x + -3(4 + x) = 1 35 + -5x + (4 * -3 + x * -3) = 1 35 + -5x + (-12 + -3x) = 1 Reorder the terms: 35 + -12 + -5x + -3x = 1 Combine like terms: 35 + -12 = 23 23 + -5x + -3x = 1 Combine like terms: -5x + -3x = -8x 23 + -8x = 1 Solving 23 + -8x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -8x = 1 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = 1 + -23 -8x = 1 + -23 Combine like terms: 1 + -23 = -22 -8x = -22 Divide each side by '-8'. x = 2.75 Simplifying x = 2.75
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