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Simplifying x + 4(2x + 3) = 6x + 3 + 2x + 7 Reorder the terms: x + 4(3 + 2x) = 6x + 3 + 2x + 7 x + (3 * 4 + 2x * 4) = 6x + 3 + 2x + 7 x + (12 + 8x) = 6x + 3 + 2x + 7 Reorder the terms: 12 + x + 8x = 6x + 3 + 2x + 7 Combine like terms: x + 8x = 9x 12 + 9x = 6x + 3 + 2x + 7 Reorder the terms: 12 + 9x = 3 + 7 + 6x + 2x Combine like terms: 3 + 7 = 10 12 + 9x = 10 + 6x + 2x Combine like terms: 6x + 2x = 8x 12 + 9x = 10 + 8x Solving 12 + 9x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 9x + -8x = 10 + 8x + -8x Combine like terms: 9x + -8x = 1x 12 + 1x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 1x = 10 + 0 12 + 1x = 10 Add '-12' to each side of the equation. 12 + -12 + 1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 10 + -12 1x = 10 + -12 Combine like terms: 10 + -12 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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