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Simplifying 2(4x + -1) = -10(x + -3) + 4 Reorder the terms: 2(-1 + 4x) = -10(x + -3) + 4 (-1 * 2 + 4x * 2) = -10(x + -3) + 4 (-2 + 8x) = -10(x + -3) + 4 Reorder the terms: -2 + 8x = -10(-3 + x) + 4 -2 + 8x = (-3 * -10 + x * -10) + 4 -2 + 8x = (30 + -10x) + 4 Reorder the terms: -2 + 8x = 30 + 4 + -10x Combine like terms: 30 + 4 = 34 -2 + 8x = 34 + -10x Solving -2 + 8x = 34 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -2 + 8x + 10x = 34 + -10x + 10x Combine like terms: 8x + 10x = 18x -2 + 18x = 34 + -10x + 10x Combine like terms: -10x + 10x = 0 -2 + 18x = 34 + 0 -2 + 18x = 34 Add '2' to each side of the equation. -2 + 2 + 18x = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = 34 + 2 18x = 34 + 2 Combine like terms: 34 + 2 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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