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Simplifying 6(x + 8) + 4 = -8(x + -3) + -10 Reorder the terms: 6(8 + x) + 4 = -8(x + -3) + -10 (8 * 6 + x * 6) + 4 = -8(x + -3) + -10 (48 + 6x) + 4 = -8(x + -3) + -10 Reorder the terms: 48 + 4 + 6x = -8(x + -3) + -10 Combine like terms: 48 + 4 = 52 52 + 6x = -8(x + -3) + -10 Reorder the terms: 52 + 6x = -8(-3 + x) + -10 52 + 6x = (-3 * -8 + x * -8) + -10 52 + 6x = (24 + -8x) + -10 Reorder the terms: 52 + 6x = 24 + -10 + -8x Combine like terms: 24 + -10 = 14 52 + 6x = 14 + -8x Solving 52 + 6x = 14 + -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. 52 + 6x + 8x = 14 + -8x + 8x Combine like terms: 6x + 8x = 14x 52 + 14x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 52 + 14x = 14 + 0 52 + 14x = 14 Add '-52' to each side of the equation. 52 + -52 + 14x = 14 + -52 Combine like terms: 52 + -52 = 0 0 + 14x = 14 + -52 14x = 14 + -52 Combine like terms: 14 + -52 = -38 14x = -38 Divide each side by '14'. x = -2.714285714 Simplifying x = -2.714285714
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