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Simplifying 49 + 2x = 6(x + 8) + -3x Reorder the terms: 49 + 2x = 6(8 + x) + -3x 49 + 2x = (8 * 6 + x * 6) + -3x 49 + 2x = (48 + 6x) + -3x Combine like terms: 6x + -3x = 3x 49 + 2x = 48 + 3x Solving 49 + 2x = 48 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 49 + 2x + -3x = 48 + 3x + -3x Combine like terms: 2x + -3x = -1x 49 + -1x = 48 + 3x + -3x Combine like terms: 3x + -3x = 0 49 + -1x = 48 + 0 49 + -1x = 48 Add '-49' to each side of the equation. 49 + -49 + -1x = 48 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 48 + -49 -1x = 48 + -49 Combine like terms: 48 + -49 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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