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Simplifying 3x + 7 + -5(x + -1) = 5x + 4 Reorder the terms: 3x + 7 + -5(-1 + x) = 5x + 4 3x + 7 + (-1 * -5 + x * -5) = 5x + 4 3x + 7 + (5 + -5x) = 5x + 4 Reorder the terms: 7 + 5 + 3x + -5x = 5x + 4 Combine like terms: 7 + 5 = 12 12 + 3x + -5x = 5x + 4 Combine like terms: 3x + -5x = -2x 12 + -2x = 5x + 4 Reorder the terms: 12 + -2x = 4 + 5x Solving 12 + -2x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -2x + -5x = 4 + 5x + -5x Combine like terms: -2x + -5x = -7x 12 + -7x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -7x = 4 + 0 12 + -7x = 4 Add '-12' to each side of the equation. 12 + -12 + -7x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 4 + -12 -7x = 4 + -12 Combine like terms: 4 + -12 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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