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Simplifying 4(x + -6) + 4 = 6(x + 7) + -8 Reorder the terms: 4(-6 + x) + 4 = 6(x + 7) + -8 (-6 * 4 + x * 4) + 4 = 6(x + 7) + -8 (-24 + 4x) + 4 = 6(x + 7) + -8 Reorder the terms: -24 + 4 + 4x = 6(x + 7) + -8 Combine like terms: -24 + 4 = -20 -20 + 4x = 6(x + 7) + -8 Reorder the terms: -20 + 4x = 6(7 + x) + -8 -20 + 4x = (7 * 6 + x * 6) + -8 -20 + 4x = (42 + 6x) + -8 Reorder the terms: -20 + 4x = 42 + -8 + 6x Combine like terms: 42 + -8 = 34 -20 + 4x = 34 + 6x Solving -20 + 4x = 34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 4x + -6x = 34 + 6x + -6x Combine like terms: 4x + -6x = -2x -20 + -2x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -2x = 34 + 0 -20 + -2x = 34 Add '20' to each side of the equation. -20 + 20 + -2x = 34 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 34 + 20 -2x = 34 + 20 Combine like terms: 34 + 20 = 54 -2x = 54 Divide each side by '-2'. x = -27 Simplifying x = -27
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