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Simplifying 30 + 29(x + -1) + -37 + 27(x + -1) = 0 Reorder the terms: 30 + 29(-1 + x) + -37 + 27(x + -1) = 0 30 + (-1 * 29 + x * 29) + -37 + 27(x + -1) = 0 30 + (-29 + 29x) + -37 + 27(x + -1) = 0 Reorder the terms: 30 + -29 + 29x + -37 + 27(-1 + x) = 0 30 + -29 + 29x + -37 + (-1 * 27 + x * 27) = 0 30 + -29 + 29x + -37 + (-27 + 27x) = 0 Reorder the terms: 30 + -29 + -37 + -27 + 29x + 27x = 0 Combine like terms: 30 + -29 = 1 1 + -37 + -27 + 29x + 27x = 0 Combine like terms: 1 + -37 = -36 -36 + -27 + 29x + 27x = 0 Combine like terms: -36 + -27 = -63 -63 + 29x + 27x = 0 Combine like terms: 29x + 27x = 56x -63 + 56x = 0 Solving -63 + 56x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 56x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 56x = 0 + 63 56x = 0 + 63 Combine like terms: 0 + 63 = 63 56x = 63 Divide each side by '56'. x = 1.125 Simplifying x = 1.125
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