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Simplifying -30 + 5(x + -2) = 4x + 7 Reorder the terms: -30 + 5(-2 + x) = 4x + 7 -30 + (-2 * 5 + x * 5) = 4x + 7 -30 + (-10 + 5x) = 4x + 7 Combine like terms: -30 + -10 = -40 -40 + 5x = 4x + 7 Reorder the terms: -40 + 5x = 7 + 4x Solving -40 + 5x = 7 + 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. -40 + 5x + -4x = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x -40 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 1x = 7 + 0 -40 + 1x = 7 Add '40' to each side of the equation. -40 + 40 + 1x = 7 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = 7 + 40 1x = 7 + 40 Combine like terms: 7 + 40 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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