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Simplifying 4(x + -6) + 7 = 6x + -6 Reorder the terms: 4(-6 + x) + 7 = 6x + -6 (-6 * 4 + x * 4) + 7 = 6x + -6 (-24 + 4x) + 7 = 6x + -6 Reorder the terms: -24 + 7 + 4x = 6x + -6 Combine like terms: -24 + 7 = -17 -17 + 4x = 6x + -6 Reorder the terms: -17 + 4x = -6 + 6x Solving -17 + 4x = -6 + 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. -17 + 4x + -6x = -6 + 6x + -6x Combine like terms: 4x + -6x = -2x -17 + -2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -2x = -6 + 0 -17 + -2x = -6 Add '17' to each side of the equation. -17 + 17 + -2x = -6 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = -6 + 17 -2x = -6 + 17 Combine like terms: -6 + 17 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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