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Simplifying 4(2x + -3) + -2 = 4(x + -3) + 6 Reorder the terms: 4(-3 + 2x) + -2 = 4(x + -3) + 6 (-3 * 4 + 2x * 4) + -2 = 4(x + -3) + 6 (-12 + 8x) + -2 = 4(x + -3) + 6 Reorder the terms: -12 + -2 + 8x = 4(x + -3) + 6 Combine like terms: -12 + -2 = -14 -14 + 8x = 4(x + -3) + 6 Reorder the terms: -14 + 8x = 4(-3 + x) + 6 -14 + 8x = (-3 * 4 + x * 4) + 6 -14 + 8x = (-12 + 4x) + 6 Reorder the terms: -14 + 8x = -12 + 6 + 4x Combine like terms: -12 + 6 = -6 -14 + 8x = -6 + 4x Solving -14 + 8x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 8x + -4x = -6 + 4x + -4x Combine like terms: 8x + -4x = 4x -14 + 4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 4x = -6 + 0 -14 + 4x = -6 Add '14' to each side of the equation. -14 + 14 + 4x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -6 + 14 4x = -6 + 14 Combine like terms: -6 + 14 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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