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Simplifying 5(x + -2) + 3 = 4(x + 6) + -25 Reorder the terms: 5(-2 + x) + 3 = 4(x + 6) + -25 (-2 * 5 + x * 5) + 3 = 4(x + 6) + -25 (-10 + 5x) + 3 = 4(x + 6) + -25 Reorder the terms: -10 + 3 + 5x = 4(x + 6) + -25 Combine like terms: -10 + 3 = -7 -7 + 5x = 4(x + 6) + -25 Reorder the terms: -7 + 5x = 4(6 + x) + -25 -7 + 5x = (6 * 4 + x * 4) + -25 -7 + 5x = (24 + 4x) + -25 Reorder the terms: -7 + 5x = 24 + -25 + 4x Combine like terms: 24 + -25 = -1 -7 + 5x = -1 + 4x Solving -7 + 5x = -1 + 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. -7 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x -7 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 1x = -1 + 0 -7 + 1x = -1 Add '7' to each side of the equation. -7 + 7 + 1x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -1 + 7 1x = -1 + 7 Combine like terms: -1 + 7 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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