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Simplifying -3(2x + 5) + -4(x + 3) = 23 Reorder the terms: -3(5 + 2x) + -4(x + 3) = 23 (5 * -3 + 2x * -3) + -4(x + 3) = 23 (-15 + -6x) + -4(x + 3) = 23 Reorder the terms: -15 + -6x + -4(3 + x) = 23 -15 + -6x + (3 * -4 + x * -4) = 23 -15 + -6x + (-12 + -4x) = 23 Reorder the terms: -15 + -12 + -6x + -4x = 23 Combine like terms: -15 + -12 = -27 -27 + -6x + -4x = 23 Combine like terms: -6x + -4x = -10x -27 + -10x = 23 Solving -27 + -10x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -10x = 23 + 27 Combine like terms: -27 + 27 = 0 0 + -10x = 23 + 27 -10x = 23 + 27 Combine like terms: 23 + 27 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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