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Simplifying 6x + 7 = 4 + -1(2x + -4) Reorder the terms: 7 + 6x = 4 + -1(2x + -4) Reorder the terms: 7 + 6x = 4 + -1(-4 + 2x) 7 + 6x = 4 + (-4 * -1 + 2x * -1) 7 + 6x = 4 + (4 + -2x) Combine like terms: 4 + 4 = 8 7 + 6x = 8 + -2x Solving 7 + 6x = 8 + -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. 7 + 6x + 2x = 8 + -2x + 2x Combine like terms: 6x + 2x = 8x 7 + 8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 8x = 8 + 0 7 + 8x = 8 Add '-7' to each side of the equation. 7 + -7 + 8x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 8 + -7 8x = 8 + -7 Combine like terms: 8 + -7 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125
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