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Simplifying 4(2x + -3) + -9x + -4 = 2x + 12 Reorder the terms: 4(-3 + 2x) + -9x + -4 = 2x + 12 (-3 * 4 + 2x * 4) + -9x + -4 = 2x + 12 (-12 + 8x) + -9x + -4 = 2x + 12 Reorder the terms: -12 + -4 + 8x + -9x = 2x + 12 Combine like terms: -12 + -4 = -16 -16 + 8x + -9x = 2x + 12 Combine like terms: 8x + -9x = -1x -16 + -1x = 2x + 12 Reorder the terms: -16 + -1x = 12 + 2x Solving -16 + -1x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + -1x + -2x = 12 + 2x + -2x Combine like terms: -1x + -2x = -3x -16 + -3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -3x = 12 + 0 -16 + -3x = 12 Add '16' to each side of the equation. -16 + 16 + -3x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = 12 + 16 -3x = 12 + 16 Combine like terms: 12 + 16 = 28 -3x = 28 Divide each side by '-3'. x = -9.333333333 Simplifying x = -9.333333333
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