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Simplifying 8 + -3(2x + 2) = -7x + 4(x + -2) Reorder the terms: 8 + -3(2 + 2x) = -7x + 4(x + -2) 8 + (2 * -3 + 2x * -3) = -7x + 4(x + -2) 8 + (-6 + -6x) = -7x + 4(x + -2) Combine like terms: 8 + -6 = 2 2 + -6x = -7x + 4(x + -2) Reorder the terms: 2 + -6x = -7x + 4(-2 + x) 2 + -6x = -7x + (-2 * 4 + x * 4) 2 + -6x = -7x + (-8 + 4x) Reorder the terms: 2 + -6x = -8 + -7x + 4x Combine like terms: -7x + 4x = -3x 2 + -6x = -8 + -3x Solving 2 + -6x = -8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + -6x + 3x = -8 + -3x + 3x Combine like terms: -6x + 3x = -3x 2 + -3x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + -3x = -8 + 0 2 + -3x = -8 Add '-2' to each side of the equation. 2 + -2 + -3x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -8 + -2 -3x = -8 + -2 Combine like terms: -8 + -2 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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