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Simplifying 6(x + 7) + -20 = 2x + 4 Reorder the terms: 6(7 + x) + -20 = 2x + 4 (7 * 6 + x * 6) + -20 = 2x + 4 (42 + 6x) + -20 = 2x + 4 Reorder the terms: 42 + -20 + 6x = 2x + 4 Combine like terms: 42 + -20 = 22 22 + 6x = 2x + 4 Reorder the terms: 22 + 6x = 4 + 2x Solving 22 + 6x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 22 + 6x + -2x = 4 + 2x + -2x Combine like terms: 6x + -2x = 4x 22 + 4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 4x = 4 + 0 22 + 4x = 4 Add '-22' to each side of the equation. 22 + -22 + 4x = 4 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 4 + -22 4x = 4 + -22 Combine like terms: 4 + -22 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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