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Simplifying 5(x + -10) = 4(x + -7) Reorder the terms: 5(-10 + x) = 4(x + -7) (-10 * 5 + x * 5) = 4(x + -7) (-50 + 5x) = 4(x + -7) Reorder the terms: -50 + 5x = 4(-7 + x) -50 + 5x = (-7 * 4 + x * 4) -50 + 5x = (-28 + 4x) Solving -50 + 5x = -28 + 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. -50 + 5x + -4x = -28 + 4x + -4x Combine like terms: 5x + -4x = 1x -50 + 1x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -50 + 1x = -28 + 0 -50 + 1x = -28 Add '50' to each side of the equation. -50 + 50 + 1x = -28 + 50 Combine like terms: -50 + 50 = 0 0 + 1x = -28 + 50 1x = -28 + 50 Combine like terms: -28 + 50 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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