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Simplifying 4(8x + -9) + 3 = 4x + 10 Reorder the terms: 4(-9 + 8x) + 3 = 4x + 10 (-9 * 4 + 8x * 4) + 3 = 4x + 10 (-36 + 32x) + 3 = 4x + 10 Reorder the terms: -36 + 3 + 32x = 4x + 10 Combine like terms: -36 + 3 = -33 -33 + 32x = 4x + 10 Reorder the terms: -33 + 32x = 10 + 4x Solving -33 + 32x = 10 + 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. -33 + 32x + -4x = 10 + 4x + -4x Combine like terms: 32x + -4x = 28x -33 + 28x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 28x = 10 + 0 -33 + 28x = 10 Add '33' to each side of the equation. -33 + 33 + 28x = 10 + 33 Combine like terms: -33 + 33 = 0 0 + 28x = 10 + 33 28x = 10 + 33 Combine like terms: 10 + 33 = 43 28x = 43 Divide each side by '28'. x = 1.535714286 Simplifying x = 1.535714286
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