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Simplifying 6 + -5(x + 1) = 2x + 4 Reorder the terms: 6 + -5(1 + x) = 2x + 4 6 + (1 * -5 + x * -5) = 2x + 4 6 + (-5 + -5x) = 2x + 4 Combine like terms: 6 + -5 = 1 1 + -5x = 2x + 4 Reorder the terms: 1 + -5x = 4 + 2x Solving 1 + -5x = 4 + 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. 1 + -5x + -2x = 4 + 2x + -2x Combine like terms: -5x + -2x = -7x 1 + -7x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -7x = 4 + 0 1 + -7x = 4 Add '-1' to each side of the equation. 1 + -1 + -7x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 4 + -1 -7x = 4 + -1 Combine like terms: 4 + -1 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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