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Simplifying 3x + -23 = 1 + -1(x + -4) Reorder the terms: -23 + 3x = 1 + -1(x + -4) Reorder the terms: -23 + 3x = 1 + -1(-4 + x) -23 + 3x = 1 + (-4 * -1 + x * -1) -23 + 3x = 1 + (4 + -1x) Combine like terms: 1 + 4 = 5 -23 + 3x = 5 + -1x Solving -23 + 3x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -23 + 3x + x = 5 + -1x + x Combine like terms: 3x + x = 4x -23 + 4x = 5 + -1x + x Combine like terms: -1x + x = 0 -23 + 4x = 5 + 0 -23 + 4x = 5 Add '23' to each side of the equation. -23 + 23 + 4x = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 4x = 5 + 23 4x = 5 + 23 Combine like terms: 5 + 23 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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