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Simplifying 8(2x + -4) + -8 = 2x + 30 Reorder the terms: 8(-4 + 2x) + -8 = 2x + 30 (-4 * 8 + 2x * 8) + -8 = 2x + 30 (-32 + 16x) + -8 = 2x + 30 Reorder the terms: -32 + -8 + 16x = 2x + 30 Combine like terms: -32 + -8 = -40 -40 + 16x = 2x + 30 Reorder the terms: -40 + 16x = 30 + 2x Solving -40 + 16x = 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. -40 + 16x + -2x = 30 + 2x + -2x Combine like terms: 16x + -2x = 14x -40 + 14x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 14x = 30 + 0 -40 + 14x = 30 Add '40' to each side of the equation. -40 + 40 + 14x = 30 + 40 Combine like terms: -40 + 40 = 0 0 + 14x = 30 + 40 14x = 30 + 40 Combine like terms: 30 + 40 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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