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Simplifying 3x + 20 + 4x = 6(4x + -8) Reorder the terms: 20 + 3x + 4x = 6(4x + -8) Combine like terms: 3x + 4x = 7x 20 + 7x = 6(4x + -8) Reorder the terms: 20 + 7x = 6(-8 + 4x) 20 + 7x = (-8 * 6 + 4x * 6) 20 + 7x = (-48 + 24x) Solving 20 + 7x = -48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 20 + 7x + -24x = -48 + 24x + -24x Combine like terms: 7x + -24x = -17x 20 + -17x = -48 + 24x + -24x Combine like terms: 24x + -24x = 0 20 + -17x = -48 + 0 20 + -17x = -48 Add '-20' to each side of the equation. 20 + -20 + -17x = -48 + -20 Combine like terms: 20 + -20 = 0 0 + -17x = -48 + -20 -17x = -48 + -20 Combine like terms: -48 + -20 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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