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Simplifying 3x * 1 + 3(x + 5) * -2 = 9x * 1 Reorder the terms for easier multiplication: 3 * 1x + 3(x + 5) * -2 = 9x * 1 Multiply 3 * 1 3x + 3(x + 5) * -2 = 9x * 1 Reorder the terms: 3x + 3(5 + x) * -2 = 9x * 1 Reorder the terms for easier multiplication: 3x + 3 * -2(5 + x) = 9x * 1 Multiply 3 * -2 3x + -6(5 + x) = 9x * 1 3x + (5 * -6 + x * -6) = 9x * 1 3x + (-30 + -6x) = 9x * 1 Reorder the terms: -30 + 3x + -6x = 9x * 1 Combine like terms: 3x + -6x = -3x -30 + -3x = 9x * 1 Reorder the terms for easier multiplication: -30 + -3x = 9 * 1x Multiply 9 * 1 -30 + -3x = 9x Solving -30 + -3x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -30 + -3x + -9x = 9x + -9x Combine like terms: -3x + -9x = -12x -30 + -12x = 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -12x = 0 Add '30' to each side of the equation. -30 + 30 + -12x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -12x = 0 + 30 -12x = 0 + 30 Combine like terms: 0 + 30 = 30 -12x = 30 Divide each side by '-12'. x = -2.5 Simplifying x = -2.5
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