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Simplifying 10(x + -3) = 4(2x + 1) Reorder the terms: 10(-3 + x) = 4(2x + 1) (-3 * 10 + x * 10) = 4(2x + 1) (-30 + 10x) = 4(2x + 1) Reorder the terms: -30 + 10x = 4(1 + 2x) -30 + 10x = (1 * 4 + 2x * 4) -30 + 10x = (4 + 8x) Solving -30 + 10x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -30 + 10x + -8x = 4 + 8x + -8x Combine like terms: 10x + -8x = 2x -30 + 2x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + 2x = 4 + 0 -30 + 2x = 4 Add '30' to each side of the equation. -30 + 30 + 2x = 4 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 4 + 30 2x = 4 + 30 Combine like terms: 4 + 30 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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