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Simplifying 2(x + -2) + 4(2 + x) = 30 + -1x(2) Reorder the terms: 2(-2 + x) + 4(2 + x) = 30 + -1x(2) (-2 * 2 + x * 2) + 4(2 + x) = 30 + -1x(2) (-4 + 2x) + 4(2 + x) = 30 + -1x(2) -4 + 2x + (2 * 4 + x * 4) = 30 + -1x(2) -4 + 2x + (8 + 4x) = 30 + -1x(2) Reorder the terms: -4 + 8 + 2x + 4x = 30 + -1x(2) Combine like terms: -4 + 8 = 4 4 + 2x + 4x = 30 + -1x(2) Combine like terms: 2x + 4x = 6x 4 + 6x = 30 + -1x(2) Reorder the terms for easier multiplication: 4 + 6x = 30 + -1 * 2x Multiply -1 * 2 4 + 6x = 30 + -2x Solving 4 + 6x = 30 + -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. 4 + 6x + 2x = 30 + -2x + 2x Combine like terms: 6x + 2x = 8x 4 + 8x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 8x = 30 + 0 4 + 8x = 30 Add '-4' to each side of the equation. 4 + -4 + 8x = 30 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 30 + -4 8x = 30 + -4 Combine like terms: 30 + -4 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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