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Simplifying 2(3x + -2) + -4 = 2(x + -3) + 30 Reorder the terms: 2(-2 + 3x) + -4 = 2(x + -3) + 30 (-2 * 2 + 3x * 2) + -4 = 2(x + -3) + 30 (-4 + 6x) + -4 = 2(x + -3) + 30 Reorder the terms: -4 + -4 + 6x = 2(x + -3) + 30 Combine like terms: -4 + -4 = -8 -8 + 6x = 2(x + -3) + 30 Reorder the terms: -8 + 6x = 2(-3 + x) + 30 -8 + 6x = (-3 * 2 + x * 2) + 30 -8 + 6x = (-6 + 2x) + 30 Reorder the terms: -8 + 6x = -6 + 30 + 2x Combine like terms: -6 + 30 = 24 -8 + 6x = 24 + 2x Solving -8 + 6x = 24 + 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. -8 + 6x + -2x = 24 + 2x + -2x Combine like terms: 6x + -2x = 4x -8 + 4x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 4x = 24 + 0 -8 + 4x = 24 Add '8' to each side of the equation. -8 + 8 + 4x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 24 + 8 4x = 24 + 8 Combine like terms: 24 + 8 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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