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Simplifying 38 = 8(6 + -1x) + 7(x + -2) 38 = (6 * 8 + -1x * 8) + 7(x + -2) 38 = (48 + -8x) + 7(x + -2) Reorder the terms: 38 = 48 + -8x + 7(-2 + x) 38 = 48 + -8x + (-2 * 7 + x * 7) 38 = 48 + -8x + (-14 + 7x) Reorder the terms: 38 = 48 + -14 + -8x + 7x Combine like terms: 48 + -14 = 34 38 = 34 + -8x + 7x Combine like terms: -8x + 7x = -1x 38 = 34 + -1x Solving 38 = 34 + -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. 38 + x = 34 + -1x + x Combine like terms: -1x + x = 0 38 + x = 34 + 0 38 + x = 34 Add '-38' to each side of the equation. 38 + -38 + x = 34 + -38 Combine like terms: 38 + -38 = 0 0 + x = 34 + -38 x = 34 + -38 Combine like terms: 34 + -38 = -4 x = -4 Simplifying x = -4
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