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Simplifying 4x + -3(2x + 7) = 8 + -1(x + -6) Reorder the terms: 4x + -3(7 + 2x) = 8 + -1(x + -6) 4x + (7 * -3 + 2x * -3) = 8 + -1(x + -6) 4x + (-21 + -6x) = 8 + -1(x + -6) Reorder the terms: -21 + 4x + -6x = 8 + -1(x + -6) Combine like terms: 4x + -6x = -2x -21 + -2x = 8 + -1(x + -6) Reorder the terms: -21 + -2x = 8 + -1(-6 + x) -21 + -2x = 8 + (-6 * -1 + x * -1) -21 + -2x = 8 + (6 + -1x) Combine like terms: 8 + 6 = 14 -21 + -2x = 14 + -1x Solving -21 + -2x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + -2x + x = 14 + -1x + x Combine like terms: -2x + x = -1x -21 + -1x = 14 + -1x + x Combine like terms: -1x + x = 0 -21 + -1x = 14 + 0 -21 + -1x = 14 Add '21' to each side of the equation. -21 + 21 + -1x = 14 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 14 + 21 -1x = 14 + 21 Combine like terms: 14 + 21 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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