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Simplifying 3(2x + -18) * 4 = 3x + -4(3x + -8) Reorder the terms: 3(-18 + 2x) * 4 = 3x + -4(3x + -8) Reorder the terms for easier multiplication: 3 * 4(-18 + 2x) = 3x + -4(3x + -8) Multiply 3 * 4 12(-18 + 2x) = 3x + -4(3x + -8) (-18 * 12 + 2x * 12) = 3x + -4(3x + -8) (-216 + 24x) = 3x + -4(3x + -8) Reorder the terms: -216 + 24x = 3x + -4(-8 + 3x) -216 + 24x = 3x + (-8 * -4 + 3x * -4) -216 + 24x = 3x + (32 + -12x) Reorder the terms: -216 + 24x = 32 + 3x + -12x Combine like terms: 3x + -12x = -9x -216 + 24x = 32 + -9x Solving -216 + 24x = 32 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -216 + 24x + 9x = 32 + -9x + 9x Combine like terms: 24x + 9x = 33x -216 + 33x = 32 + -9x + 9x Combine like terms: -9x + 9x = 0 -216 + 33x = 32 + 0 -216 + 33x = 32 Add '216' to each side of the equation. -216 + 216 + 33x = 32 + 216 Combine like terms: -216 + 216 = 0 0 + 33x = 32 + 216 33x = 32 + 216 Combine like terms: 32 + 216 = 248 33x = 248 Divide each side by '33'. x = 7.515151515 Simplifying x = 7.515151515
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