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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 = -28 -17x = -28 Divide each side by '-17'. x = 1.647058824 Simplifying x = 1.647058824
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