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Simplifying 7 + -1(x + -5) + 2x = 4x + -1(7x + -24) Reorder the terms: 7 + -1(-5 + x) + 2x = 4x + -1(7x + -24) 7 + (-5 * -1 + x * -1) + 2x = 4x + -1(7x + -24) 7 + (5 + -1x) + 2x = 4x + -1(7x + -24) Combine like terms: 7 + 5 = 12 12 + -1x + 2x = 4x + -1(7x + -24) Combine like terms: -1x + 2x = 1x 12 + 1x = 4x + -1(7x + -24) Reorder the terms: 12 + 1x = 4x + -1(-24 + 7x) 12 + 1x = 4x + (-24 * -1 + 7x * -1) 12 + 1x = 4x + (24 + -7x) Reorder the terms: 12 + 1x = 24 + 4x + -7x Combine like terms: 4x + -7x = -3x 12 + 1x = 24 + -3x Solving 12 + 1x = 24 + -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. 12 + 1x + 3x = 24 + -3x + 3x Combine like terms: 1x + 3x = 4x 12 + 4x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 4x = 24 + 0 12 + 4x = 24 Add '-12' to each side of the equation. 12 + -12 + 4x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 24 + -12 4x = 24 + -12 Combine like terms: 24 + -12 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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