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Simplifying 10(x + 4 + -9)(-3) = 8(x + -3) Reorder the terms: 10(4 + -9 + x)(-3) = 8(x + -3) Combine like terms: 4 + -9 = -5 10(-5 + x)(-3) = 8(x + -3) Reorder the terms for easier multiplication: 10 * -3(-5 + x) = 8(x + -3) Multiply 10 * -3 -30(-5 + x) = 8(x + -3) (-5 * -30 + x * -30) = 8(x + -3) (150 + -30x) = 8(x + -3) Reorder the terms: 150 + -30x = 8(-3 + x) 150 + -30x = (-3 * 8 + x * 8) 150 + -30x = (-24 + 8x) Solving 150 + -30x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 150 + -30x + -8x = -24 + 8x + -8x Combine like terms: -30x + -8x = -38x 150 + -38x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 150 + -38x = -24 + 0 150 + -38x = -24 Add '-150' to each side of the equation. 150 + -150 + -38x = -24 + -150 Combine like terms: 150 + -150 = 0 0 + -38x = -24 + -150 -38x = -24 + -150 Combine like terms: -24 + -150 = -174 -38x = -174 Divide each side by '-38'. x = 4.578947368 Simplifying x = 4.578947368
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