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Simplifying 8(3x + -4) = 6(x + -2) Reorder the terms: 8(-4 + 3x) = 6(x + -2) (-4 * 8 + 3x * 8) = 6(x + -2) (-32 + 24x) = 6(x + -2) Reorder the terms: -32 + 24x = 6(-2 + x) -32 + 24x = (-2 * 6 + x * 6) -32 + 24x = (-12 + 6x) Solving -32 + 24x = -12 + 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. -32 + 24x + -6x = -12 + 6x + -6x Combine like terms: 24x + -6x = 18x -32 + 18x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 18x = -12 + 0 -32 + 18x = -12 Add '32' to each side of the equation. -32 + 32 + 18x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 18x = -12 + 32 18x = -12 + 32 Combine like terms: -12 + 32 = 20 18x = 20 Divide each side by '18'. x = 1.111111111 Simplifying x = 1.111111111
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