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Simplifying 6(x + 2) + -7 = x + -4(2x + -1) Reorder the terms: 6(2 + x) + -7 = x + -4(2x + -1) (2 * 6 + x * 6) + -7 = x + -4(2x + -1) (12 + 6x) + -7 = x + -4(2x + -1) Reorder the terms: 12 + -7 + 6x = x + -4(2x + -1) Combine like terms: 12 + -7 = 5 5 + 6x = x + -4(2x + -1) Reorder the terms: 5 + 6x = x + -4(-1 + 2x) 5 + 6x = x + (-1 * -4 + 2x * -4) 5 + 6x = x + (4 + -8x) Reorder the terms: 5 + 6x = 4 + x + -8x Combine like terms: x + -8x = -7x 5 + 6x = 4 + -7x Solving 5 + 6x = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + 6x + 7x = 4 + -7x + 7x Combine like terms: 6x + 7x = 13x 5 + 13x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 13x = 4 + 0 5 + 13x = 4 Add '-5' to each side of the equation. 5 + -5 + 13x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 4 + -5 13x = 4 + -5 Combine like terms: 4 + -5 = -1 13x = -1 Divide each side by '13'. x = -0.07692307692 Simplifying x = -0.07692307692
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