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Simplifying 3(x + -5) + -4(3x + 2) = x + -23 Reorder the terms: 3(-5 + x) + -4(3x + 2) = x + -23 (-5 * 3 + x * 3) + -4(3x + 2) = x + -23 (-15 + 3x) + -4(3x + 2) = x + -23 Reorder the terms: -15 + 3x + -4(2 + 3x) = x + -23 -15 + 3x + (2 * -4 + 3x * -4) = x + -23 -15 + 3x + (-8 + -12x) = x + -23 Reorder the terms: -15 + -8 + 3x + -12x = x + -23 Combine like terms: -15 + -8 = -23 -23 + 3x + -12x = x + -23 Combine like terms: 3x + -12x = -9x -23 + -9x = x + -23 Reorder the terms: -23 + -9x = -23 + x Add '23' to each side of the equation. -23 + 23 + -9x = -23 + 23 + x Combine like terms: -23 + 23 = 0 0 + -9x = -23 + 23 + x -9x = -23 + 23 + x Combine like terms: -23 + 23 = 0 -9x = 0 + x -9x = x Solving -9x = 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. -9x + -1x = x + -1x Combine like terms: -9x + -1x = -10x -10x = x + -1x Combine like terms: x + -1x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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