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Simplifying 4(2x + -3) + -3x = -4(x + 2) + 3 Reorder the terms: 4(-3 + 2x) + -3x = -4(x + 2) + 3 (-3 * 4 + 2x * 4) + -3x = -4(x + 2) + 3 (-12 + 8x) + -3x = -4(x + 2) + 3 Combine like terms: 8x + -3x = 5x -12 + 5x = -4(x + 2) + 3 Reorder the terms: -12 + 5x = -4(2 + x) + 3 -12 + 5x = (2 * -4 + x * -4) + 3 -12 + 5x = (-8 + -4x) + 3 Reorder the terms: -12 + 5x = -8 + 3 + -4x Combine like terms: -8 + 3 = -5 -12 + 5x = -5 + -4x Solving -12 + 5x = -5 + -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. -12 + 5x + 4x = -5 + -4x + 4x Combine like terms: 5x + 4x = 9x -12 + 9x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 9x = -5 + 0 -12 + 9x = -5 Add '12' to each side of the equation. -12 + 12 + 9x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -5 + 12 9x = -5 + 12 Combine like terms: -5 + 12 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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