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Simplifying 4x + 7 + -6(x + 1) = 2x + 4 Reorder the terms: 4x + 7 + -6(1 + x) = 2x + 4 4x + 7 + (1 * -6 + x * -6) = 2x + 4 4x + 7 + (-6 + -6x) = 2x + 4 Reorder the terms: 7 + -6 + 4x + -6x = 2x + 4 Combine like terms: 7 + -6 = 1 1 + 4x + -6x = 2x + 4 Combine like terms: 4x + -6x = -2x 1 + -2x = 2x + 4 Reorder the terms: 1 + -2x = 4 + 2x Solving 1 + -2x = 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 + -2x + -2x = 4 + 2x + -2x Combine like terms: -2x + -2x = -4x 1 + -4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -4x = 4 + 0 1 + -4x = 4 Add '-1' to each side of the equation. 1 + -1 + -4x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 4 + -1 -4x = 4 + -1 Combine like terms: 4 + -1 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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