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Simplifying 5 + -1(x + -7) + 4x = 7(x + -1) Reorder the terms: 5 + -1(-7 + x) + 4x = 7(x + -1) 5 + (-7 * -1 + x * -1) + 4x = 7(x + -1) 5 + (7 + -1x) + 4x = 7(x + -1) Combine like terms: 5 + 7 = 12 12 + -1x + 4x = 7(x + -1) Combine like terms: -1x + 4x = 3x 12 + 3x = 7(x + -1) Reorder the terms: 12 + 3x = 7(-1 + x) 12 + 3x = (-1 * 7 + x * 7) 12 + 3x = (-7 + 7x) Solving 12 + 3x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 3x + -7x = -7 + 7x + -7x Combine like terms: 3x + -7x = -4x 12 + -4x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -4x = -7 + 0 12 + -4x = -7 Add '-12' to each side of the equation. 12 + -12 + -4x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -7 + -12 -4x = -7 + -12 Combine like terms: -7 + -12 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75
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