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Simplifying 4x + -1(3x + -7) = 2x + -6 Reorder the terms: 4x + -1(-7 + 3x) = 2x + -6 4x + (-7 * -1 + 3x * -1) = 2x + -6 4x + (7 + -3x) = 2x + -6 Reorder the terms: 7 + 4x + -3x = 2x + -6 Combine like terms: 4x + -3x = 1x 7 + 1x = 2x + -6 Reorder the terms: 7 + 1x = -6 + 2x Solving 7 + 1x = -6 + 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 + 1x + -2x = -6 + 2x + -2x Combine like terms: 1x + -2x = -1x 7 + -1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -1x = -6 + 0 7 + -1x = -6 Add '-7' to each side of the equation. 7 + -7 + -1x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -6 + -7 -1x = -6 + -7 Combine like terms: -6 + -7 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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