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Simplifying 20 + 6x = 7x + 4(3x + -8) Reorder the terms: 20 + 6x = 7x + 4(-8 + 3x) 20 + 6x = 7x + (-8 * 4 + 3x * 4) 20 + 6x = 7x + (-32 + 12x) Reorder the terms: 20 + 6x = -32 + 7x + 12x Combine like terms: 7x + 12x = 19x 20 + 6x = -32 + 19x Solving 20 + 6x = -32 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 20 + 6x + -19x = -32 + 19x + -19x Combine like terms: 6x + -19x = -13x 20 + -13x = -32 + 19x + -19x Combine like terms: 19x + -19x = 0 20 + -13x = -32 + 0 20 + -13x = -32 Add '-20' to each side of the equation. 20 + -20 + -13x = -32 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = -32 + -20 -13x = -32 + -20 Combine like terms: -32 + -20 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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