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Simplifying 5(2x + -3) + -4(x + -4) = -23 Reorder the terms: 5(-3 + 2x) + -4(x + -4) = -23 (-3 * 5 + 2x * 5) + -4(x + -4) = -23 (-15 + 10x) + -4(x + -4) = -23 Reorder the terms: -15 + 10x + -4(-4 + x) = -23 -15 + 10x + (-4 * -4 + x * -4) = -23 -15 + 10x + (16 + -4x) = -23 Reorder the terms: -15 + 16 + 10x + -4x = -23 Combine like terms: -15 + 16 = 1 1 + 10x + -4x = -23 Combine like terms: 10x + -4x = 6x 1 + 6x = -23 Solving 1 + 6x = -23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = -23 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = -23 + -1 6x = -23 + -1 Combine like terms: -23 + -1 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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