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Simplifying 3(5x + -2) + 8 = -9x + 2x + 1 Reorder the terms: 3(-2 + 5x) + 8 = -9x + 2x + 1 (-2 * 3 + 5x * 3) + 8 = -9x + 2x + 1 (-6 + 15x) + 8 = -9x + 2x + 1 Reorder the terms: -6 + 8 + 15x = -9x + 2x + 1 Combine like terms: -6 + 8 = 2 2 + 15x = -9x + 2x + 1 Reorder the terms: 2 + 15x = 1 + -9x + 2x Combine like terms: -9x + 2x = -7x 2 + 15x = 1 + -7x Solving 2 + 15x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2 + 15x + 7x = 1 + -7x + 7x Combine like terms: 15x + 7x = 22x 2 + 22x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + 22x = 1 + 0 2 + 22x = 1 Add '-2' to each side of the equation. 2 + -2 + 22x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 22x = 1 + -2 22x = 1 + -2 Combine like terms: 1 + -2 = -1 22x = -1 Divide each side by '22'. x = -0.04545454545 Simplifying x = -0.04545454545
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