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Simplifying 3(x + -7) + -6(4) = 2(x + -1) Reorder the terms: 3(-7 + x) + -6(4) = 2(x + -1) (-7 * 3 + x * 3) + -6(4) = 2(x + -1) (-21 + 3x) + -6(4) = 2(x + -1) Multiply -6 * 4 -21 + 3x + -24 = 2(x + -1) Reorder the terms: -21 + -24 + 3x = 2(x + -1) Combine like terms: -21 + -24 = -45 -45 + 3x = 2(x + -1) Reorder the terms: -45 + 3x = 2(-1 + x) -45 + 3x = (-1 * 2 + x * 2) -45 + 3x = (-2 + 2x) Solving -45 + 3x = -2 + 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. -45 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x -45 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 1x = -2 + 0 -45 + 1x = -2 Add '45' to each side of the equation. -45 + 45 + 1x = -2 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = -2 + 45 1x = -2 + 45 Combine like terms: -2 + 45 = 43 1x = 43 Divide each side by '1'. x = 43 Simplifying x = 43
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