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Simplifying 3(7x + -8) = 4(6x + -3) Reorder the terms: 3(-8 + 7x) = 4(6x + -3) (-8 * 3 + 7x * 3) = 4(6x + -3) (-24 + 21x) = 4(6x + -3) Reorder the terms: -24 + 21x = 4(-3 + 6x) -24 + 21x = (-3 * 4 + 6x * 4) -24 + 21x = (-12 + 24x) Solving -24 + 21x = -12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -24 + 21x + -24x = -12 + 24x + -24x Combine like terms: 21x + -24x = -3x -24 + -3x = -12 + 24x + -24x Combine like terms: 24x + -24x = 0 -24 + -3x = -12 + 0 -24 + -3x = -12 Add '24' to each side of the equation. -24 + 24 + -3x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -12 + 24 -3x = -12 + 24 Combine like terms: -12 + 24 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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