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Simplifying 8 + 4(x + 7) = 6(x + -10) Reorder the terms: 8 + 4(7 + x) = 6(x + -10) 8 + (7 * 4 + x * 4) = 6(x + -10) 8 + (28 + 4x) = 6(x + -10) Combine like terms: 8 + 28 = 36 36 + 4x = 6(x + -10) Reorder the terms: 36 + 4x = 6(-10 + x) 36 + 4x = (-10 * 6 + x * 6) 36 + 4x = (-60 + 6x) Solving 36 + 4x = -60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 36 + 4x + -6x = -60 + 6x + -6x Combine like terms: 4x + -6x = -2x 36 + -2x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -2x = -60 + 0 36 + -2x = -60 Add '-36' to each side of the equation. 36 + -36 + -2x = -60 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = -60 + -36 -2x = -60 + -36 Combine like terms: -60 + -36 = -96 -2x = -96 Divide each side by '-2'. x = 48 Simplifying x = 48
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