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Simplifying 6(x * 3) + -9(x + -5) = x + -1 Reorder the terms for easier multiplication: 6(3x) + -9(x + -5) = x + -1 Remove parenthesis around (3x) 6 * 3x + -9(x + -5) = x + -1 Multiply 6 * 3 18x + -9(x + -5) = x + -1 Reorder the terms: 18x + -9(-5 + x) = x + -1 18x + (-5 * -9 + x * -9) = x + -1 18x + (45 + -9x) = x + -1 Reorder the terms: 45 + 18x + -9x = x + -1 Combine like terms: 18x + -9x = 9x 45 + 9x = x + -1 Reorder the terms: 45 + 9x = -1 + x Solving 45 + 9x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 45 + 9x + -1x = -1 + x + -1x Combine like terms: 9x + -1x = 8x 45 + 8x = -1 + x + -1x Combine like terms: x + -1x = 0 45 + 8x = -1 + 0 45 + 8x = -1 Add '-45' to each side of the equation. 45 + -45 + 8x = -1 + -45 Combine like terms: 45 + -45 = 0 0 + 8x = -1 + -45 8x = -1 + -45 Combine like terms: -1 + -45 = -46 8x = -46 Divide each side by '8'. x = -5.75 Simplifying x = -5.75
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