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Simplifying 6x + 4 + 4(x + 1) = -4x + 7 Reorder the terms: 6x + 4 + 4(1 + x) = -4x + 7 6x + 4 + (1 * 4 + x * 4) = -4x + 7 6x + 4 + (4 + 4x) = -4x + 7 Reorder the terms: 4 + 4 + 6x + 4x = -4x + 7 Combine like terms: 4 + 4 = 8 8 + 6x + 4x = -4x + 7 Combine like terms: 6x + 4x = 10x 8 + 10x = -4x + 7 Reorder the terms: 8 + 10x = 7 + -4x Solving 8 + 10x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 10x + 4x = 7 + -4x + 4x Combine like terms: 10x + 4x = 14x 8 + 14x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 14x = 7 + 0 8 + 14x = 7 Add '-8' to each side of the equation. 8 + -8 + 14x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 7 + -8 14x = 7 + -8 Combine like terms: 7 + -8 = -1 14x = -1 Divide each side by '14'. x = -0.07142857143 Simplifying x = -0.07142857143
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