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Simplifying 49 + 4(x + -1) = 289 + -1(x + -7x) + 1 Reorder the terms: 49 + 4(-1 + x) = 289 + -1(x + -7x) + 1 49 + (-1 * 4 + x * 4) = 289 + -1(x + -7x) + 1 49 + (-4 + 4x) = 289 + -1(x + -7x) + 1 Combine like terms: 49 + -4 = 45 45 + 4x = 289 + -1(x + -7x) + 1 Combine like terms: x + -7x = -6x 45 + 4x = 289 + -1(-6x) + 1 Remove parenthesis around (-6x) 45 + 4x = 289 + -1 * -6x + 1 Multiply -1 * -6 45 + 4x = 289 + 6x + 1 Reorder the terms: 45 + 4x = 289 + 1 + 6x Combine like terms: 289 + 1 = 290 45 + 4x = 290 + 6x Solving 45 + 4x = 290 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 4x + -6x = 290 + 6x + -6x Combine like terms: 4x + -6x = -2x 45 + -2x = 290 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -2x = 290 + 0 45 + -2x = 290 Add '-45' to each side of the equation. 45 + -45 + -2x = 290 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 290 + -45 -2x = 290 + -45 Combine like terms: 290 + -45 = 245 -2x = 245 Divide each side by '-2'. x = -122.5 Simplifying x = -122.5
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