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Simplifying 6x + 8 = 3(x + 2) + -4(x + 3) Reorder the terms: 8 + 6x = 3(x + 2) + -4(x + 3) Reorder the terms: 8 + 6x = 3(2 + x) + -4(x + 3) 8 + 6x = (2 * 3 + x * 3) + -4(x + 3) 8 + 6x = (6 + 3x) + -4(x + 3) Reorder the terms: 8 + 6x = 6 + 3x + -4(3 + x) 8 + 6x = 6 + 3x + (3 * -4 + x * -4) 8 + 6x = 6 + 3x + (-12 + -4x) Reorder the terms: 8 + 6x = 6 + -12 + 3x + -4x Combine like terms: 6 + -12 = -6 8 + 6x = -6 + 3x + -4x Combine like terms: 3x + -4x = -1x 8 + 6x = -6 + -1x Solving 8 + 6x = -6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 6x + x = -6 + -1x + x Combine like terms: 6x + x = 7x 8 + 7x = -6 + -1x + x Combine like terms: -1x + x = 0 8 + 7x = -6 + 0 8 + 7x = -6 Add '-8' to each side of the equation. 8 + -8 + 7x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = -6 + -8 7x = -6 + -8 Combine like terms: -6 + -8 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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