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Simplifying 6(x + 8) + 7 = 3(x + -10) + 4 Reorder the terms: 6(8 + x) + 7 = 3(x + -10) + 4 (8 * 6 + x * 6) + 7 = 3(x + -10) + 4 (48 + 6x) + 7 = 3(x + -10) + 4 Reorder the terms: 48 + 7 + 6x = 3(x + -10) + 4 Combine like terms: 48 + 7 = 55 55 + 6x = 3(x + -10) + 4 Reorder the terms: 55 + 6x = 3(-10 + x) + 4 55 + 6x = (-10 * 3 + x * 3) + 4 55 + 6x = (-30 + 3x) + 4 Reorder the terms: 55 + 6x = -30 + 4 + 3x Combine like terms: -30 + 4 = -26 55 + 6x = -26 + 3x Solving 55 + 6x = -26 + 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. 55 + 6x + -3x = -26 + 3x + -3x Combine like terms: 6x + -3x = 3x 55 + 3x = -26 + 3x + -3x Combine like terms: 3x + -3x = 0 55 + 3x = -26 + 0 55 + 3x = -26 Add '-55' to each side of the equation. 55 + -55 + 3x = -26 + -55 Combine like terms: 55 + -55 = 0 0 + 3x = -26 + -55 3x = -26 + -55 Combine like terms: -26 + -55 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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