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Simplifying 4x + -2(x + -3) = -7 + 5x + 1 Reorder the terms: 4x + -2(-3 + x) = -7 + 5x + 1 4x + (-3 * -2 + x * -2) = -7 + 5x + 1 4x + (6 + -2x) = -7 + 5x + 1 Reorder the terms: 6 + 4x + -2x = -7 + 5x + 1 Combine like terms: 4x + -2x = 2x 6 + 2x = -7 + 5x + 1 Reorder the terms: 6 + 2x = -7 + 1 + 5x Combine like terms: -7 + 1 = -6 6 + 2x = -6 + 5x Solving 6 + 2x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 2x + -5x = -6 + 5x + -5x Combine like terms: 2x + -5x = -3x 6 + -3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -3x = -6 + 0 6 + -3x = -6 Add '-6' to each side of the equation. 6 + -6 + -3x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -6 + -6 -3x = -6 + -6 Combine like terms: -6 + -6 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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