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Simplifying 5x + -2 = 4(x + 10) + -7 Reorder the terms: -2 + 5x = 4(x + 10) + -7 Reorder the terms: -2 + 5x = 4(10 + x) + -7 -2 + 5x = (10 * 4 + x * 4) + -7 -2 + 5x = (40 + 4x) + -7 Reorder the terms: -2 + 5x = 40 + -7 + 4x Combine like terms: 40 + -7 = 33 -2 + 5x = 33 + 4x Solving -2 + 5x = 33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 5x + -4x = 33 + 4x + -4x Combine like terms: 5x + -4x = 1x -2 + 1x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 1x = 33 + 0 -2 + 1x = 33 Add '2' to each side of the equation. -2 + 2 + 1x = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 33 + 2 1x = 33 + 2 Combine like terms: 33 + 2 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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