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Simplifying 4(1 + x) + -6x = -6(6x + 5) (1 * 4 + x * 4) + -6x = -6(6x + 5) (4 + 4x) + -6x = -6(6x + 5) Combine like terms: 4x + -6x = -2x 4 + -2x = -6(6x + 5) Reorder the terms: 4 + -2x = -6(5 + 6x) 4 + -2x = (5 * -6 + 6x * -6) 4 + -2x = (-30 + -36x) Solving 4 + -2x = -30 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 4 + -2x + 36x = -30 + -36x + 36x Combine like terms: -2x + 36x = 34x 4 + 34x = -30 + -36x + 36x Combine like terms: -36x + 36x = 0 4 + 34x = -30 + 0 4 + 34x = -30 Add '-4' to each side of the equation. 4 + -4 + 34x = -30 + -4 Combine like terms: 4 + -4 = 0 0 + 34x = -30 + -4 34x = -30 + -4 Combine like terms: -30 + -4 = -34 34x = -34 Divide each side by '34'. x = -1 Simplifying x = -1
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