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Simplifying 3(2x + -5) + -2(8x + -4) = 23 Reorder the terms: 3(-5 + 2x) + -2(8x + -4) = 23 (-5 * 3 + 2x * 3) + -2(8x + -4) = 23 (-15 + 6x) + -2(8x + -4) = 23 Reorder the terms: -15 + 6x + -2(-4 + 8x) = 23 -15 + 6x + (-4 * -2 + 8x * -2) = 23 -15 + 6x + (8 + -16x) = 23 Reorder the terms: -15 + 8 + 6x + -16x = 23 Combine like terms: -15 + 8 = -7 -7 + 6x + -16x = 23 Combine like terms: 6x + -16x = -10x -7 + -10x = 23 Solving -7 + -10x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -10x = 23 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 23 + 7 -10x = 23 + 7 Combine like terms: 23 + 7 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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