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Simplifying 5(2x + -6) = 2(x + 44) Reorder the terms: 5(-6 + 2x) = 2(x + 44) (-6 * 5 + 2x * 5) = 2(x + 44) (-30 + 10x) = 2(x + 44) Reorder the terms: -30 + 10x = 2(44 + x) -30 + 10x = (44 * 2 + x * 2) -30 + 10x = (88 + 2x) Solving -30 + 10x = 88 + 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. -30 + 10x + -2x = 88 + 2x + -2x Combine like terms: 10x + -2x = 8x -30 + 8x = 88 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 8x = 88 + 0 -30 + 8x = 88 Add '30' to each side of the equation. -30 + 30 + 8x = 88 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 88 + 30 8x = 88 + 30 Combine like terms: 88 + 30 = 118 8x = 118 Divide each side by '8'. x = 14.75 Simplifying x = 14.75
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