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Simplifying 7 + 4(6x + -1) = 3(1x + -8) Reorder the terms: 7 + 4(-1 + 6x) = 3(1x + -8) 7 + (-1 * 4 + 6x * 4) = 3(1x + -8) 7 + (-4 + 24x) = 3(1x + -8) Combine like terms: 7 + -4 = 3 3 + 24x = 3(1x + -8) Reorder the terms: 3 + 24x = 3(-8 + 1x) 3 + 24x = (-8 * 3 + 1x * 3) 3 + 24x = (-24 + 3x) Solving 3 + 24x = -24 + 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. 3 + 24x + -3x = -24 + 3x + -3x Combine like terms: 24x + -3x = 21x 3 + 21x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 21x = -24 + 0 3 + 21x = -24 Add '-3' to each side of the equation. 3 + -3 + 21x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 21x = -24 + -3 21x = -24 + -3 Combine like terms: -24 + -3 = -27 21x = -27 Divide each side by '21'. x = -1.285714286 Simplifying x = -1.285714286
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