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Simplifying 8x + -3(3 + -2x) = 4(x + -4) + -23 8x + (3 * -3 + -2x * -3) = 4(x + -4) + -23 8x + (-9 + 6x) = 4(x + -4) + -23 Reorder the terms: -9 + 8x + 6x = 4(x + -4) + -23 Combine like terms: 8x + 6x = 14x -9 + 14x = 4(x + -4) + -23 Reorder the terms: -9 + 14x = 4(-4 + x) + -23 -9 + 14x = (-4 * 4 + x * 4) + -23 -9 + 14x = (-16 + 4x) + -23 Reorder the terms: -9 + 14x = -16 + -23 + 4x Combine like terms: -16 + -23 = -39 -9 + 14x = -39 + 4x Solving -9 + 14x = -39 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 14x + -4x = -39 + 4x + -4x Combine like terms: 14x + -4x = 10x -9 + 10x = -39 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 10x = -39 + 0 -9 + 10x = -39 Add '9' to each side of the equation. -9 + 9 + 10x = -39 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = -39 + 9 10x = -39 + 9 Combine like terms: -39 + 9 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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