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Simplifying 4x + 6(1 + 8x) = -7(-4 + -6) 4x + (1 * 6 + 8x * 6) = -7(-4 + -6) 4x + (6 + 48x) = -7(-4 + -6) Reorder the terms: 6 + 4x + 48x = -7(-4 + -6) Combine like terms: 4x + 48x = 52x 6 + 52x = -7(-4 + -6) Combine like terms: -4 + -6 = -10 6 + 52x = -7(-10) Multiply -7 * -10 6 + 52x = 70 Solving 6 + 52x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 52x = 70 + -6 Combine like terms: 6 + -6 = 0 0 + 52x = 70 + -6 52x = 70 + -6 Combine like terms: 70 + -6 = 64 52x = 64 Divide each side by '52'. x = 1.230769231 Simplifying x = 1.230769231
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