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Simplifying 5x + 3(12 + -1x) = 9x + -28 + x 5x + (12 * 3 + -1x * 3) = 9x + -28 + x 5x + (36 + -3x) = 9x + -28 + x Reorder the terms: 36 + 5x + -3x = 9x + -28 + x Combine like terms: 5x + -3x = 2x 36 + 2x = 9x + -28 + x Reorder the terms: 36 + 2x = -28 + 9x + x Combine like terms: 9x + x = 10x 36 + 2x = -28 + 10x Solving 36 + 2x = -28 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 36 + 2x + -10x = -28 + 10x + -10x Combine like terms: 2x + -10x = -8x 36 + -8x = -28 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + -8x = -28 + 0 36 + -8x = -28 Add '-36' to each side of the equation. 36 + -36 + -8x = -28 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = -28 + -36 -8x = -28 + -36 Combine like terms: -28 + -36 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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