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Simplifying 30 + -6x + -1(9x + -3) = 5 + x + -1(3 + 6x) + 3 Reorder the terms: 30 + -6x + -1(-3 + 9x) = 5 + x + -1(3 + 6x) + 3 30 + -6x + (-3 * -1 + 9x * -1) = 5 + x + -1(3 + 6x) + 3 30 + -6x + (3 + -9x) = 5 + x + -1(3 + 6x) + 3 Reorder the terms: 30 + 3 + -6x + -9x = 5 + x + -1(3 + 6x) + 3 Combine like terms: 30 + 3 = 33 33 + -6x + -9x = 5 + x + -1(3 + 6x) + 3 Combine like terms: -6x + -9x = -15x 33 + -15x = 5 + x + -1(3 + 6x) + 3 33 + -15x = 5 + x + (3 * -1 + 6x * -1) + 3 33 + -15x = 5 + x + (-3 + -6x) + 3 Reorder the terms: 33 + -15x = 5 + -3 + 3 + x + -6x Combine like terms: 5 + -3 = 2 33 + -15x = 2 + 3 + x + -6x Combine like terms: 2 + 3 = 5 33 + -15x = 5 + x + -6x Combine like terms: x + -6x = -5x 33 + -15x = 5 + -5x Solving 33 + -15x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 33 + -15x + 5x = 5 + -5x + 5x Combine like terms: -15x + 5x = -10x 33 + -10x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 33 + -10x = 5 + 0 33 + -10x = 5 Add '-33' to each side of the equation. 33 + -33 + -10x = 5 + -33 Combine like terms: 33 + -33 = 0 0 + -10x = 5 + -33 -10x = 5 + -33 Combine like terms: 5 + -33 = -28 -10x = -28 Divide each side by '-10'. x = 2.8 Simplifying x = 2.8
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