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Simplifying 3(x + -7) + -3 = 2(x + -2) Reorder the terms: 3(-7 + x) + -3 = 2(x + -2) (-7 * 3 + x * 3) + -3 = 2(x + -2) (-21 + 3x) + -3 = 2(x + -2) Reorder the terms: -21 + -3 + 3x = 2(x + -2) Combine like terms: -21 + -3 = -24 -24 + 3x = 2(x + -2) Reorder the terms: -24 + 3x = 2(-2 + x) -24 + 3x = (-2 * 2 + x * 2) -24 + 3x = (-4 + 2x) Solving -24 + 3x = -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. -24 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x -24 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 1x = -4 + 0 -24 + 1x = -4 Add '24' to each side of the equation. -24 + 24 + 1x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -4 + 24 1x = -4 + 24 Combine like terms: -4 + 24 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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