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Simplifying 4(2x + -3) + 4 = 9x + 2 Reorder the terms: 4(-3 + 2x) + 4 = 9x + 2 (-3 * 4 + 2x * 4) + 4 = 9x + 2 (-12 + 8x) + 4 = 9x + 2 Reorder the terms: -12 + 4 + 8x = 9x + 2 Combine like terms: -12 + 4 = -8 -8 + 8x = 9x + 2 Reorder the terms: -8 + 8x = 2 + 9x Solving -8 + 8x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 8x + -9x = 2 + 9x + -9x Combine like terms: 8x + -9x = -1x -8 + -1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -1x = 2 + 0 -8 + -1x = 2 Add '8' to each side of the equation. -8 + 8 + -1x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 2 + 8 -1x = 2 + 8 Combine like terms: 2 + 8 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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