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Simplifying 3(x + -1) + -5(3x + 4) = x + -23 Reorder the terms: 3(-1 + x) + -5(3x + 4) = x + -23 (-1 * 3 + x * 3) + -5(3x + 4) = x + -23 (-3 + 3x) + -5(3x + 4) = x + -23 Reorder the terms: -3 + 3x + -5(4 + 3x) = x + -23 -3 + 3x + (4 * -5 + 3x * -5) = x + -23 -3 + 3x + (-20 + -15x) = x + -23 Reorder the terms: -3 + -20 + 3x + -15x = x + -23 Combine like terms: -3 + -20 = -23 -23 + 3x + -15x = x + -23 Combine like terms: 3x + -15x = -12x -23 + -12x = x + -23 Reorder the terms: -23 + -12x = -23 + x Add '23' to each side of the equation. -23 + 23 + -12x = -23 + 23 + x Combine like terms: -23 + 23 = 0 0 + -12x = -23 + 23 + x -12x = -23 + 23 + x Combine like terms: -23 + 23 = 0 -12x = 0 + x -12x = x Solving -12x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12x + -1x = x + -1x Combine like terms: -12x + -1x = -13x -13x = x + -1x Combine like terms: x + -1x = 0 -13x = 0 Divide each side by '-13'. x = 0 Simplifying x = 0
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