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Simplifying 5(3x + -5) + -3(6 + 3x) + -1(4 + -1x) = -89 Reorder the terms: 5(-5 + 3x) + -3(6 + 3x) + -1(4 + -1x) = -89 (-5 * 5 + 3x * 5) + -3(6 + 3x) + -1(4 + -1x) = -89 (-25 + 15x) + -3(6 + 3x) + -1(4 + -1x) = -89 -25 + 15x + (6 * -3 + 3x * -3) + -1(4 + -1x) = -89 -25 + 15x + (-18 + -9x) + -1(4 + -1x) = -89 -25 + 15x + -18 + -9x + (4 * -1 + -1x * -1) = -89 -25 + 15x + -18 + -9x + (-4 + 1x) = -89 Reorder the terms: -25 + -18 + -4 + 15x + -9x + 1x = -89 Combine like terms: -25 + -18 = -43 -43 + -4 + 15x + -9x + 1x = -89 Combine like terms: -43 + -4 = -47 -47 + 15x + -9x + 1x = -89 Combine like terms: 15x + -9x = 6x -47 + 6x + 1x = -89 Combine like terms: 6x + 1x = 7x -47 + 7x = -89 Solving -47 + 7x = -89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 7x = -89 + 47 Combine like terms: -47 + 47 = 0 0 + 7x = -89 + 47 7x = -89 + 47 Combine like terms: -89 + 47 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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