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Simplifying 4(2x + -3) + 4x = 6(3 + -1x) + 4 Reorder the terms: 4(-3 + 2x) + 4x = 6(3 + -1x) + 4 (-3 * 4 + 2x * 4) + 4x = 6(3 + -1x) + 4 (-12 + 8x) + 4x = 6(3 + -1x) + 4 Combine like terms: 8x + 4x = 12x -12 + 12x = 6(3 + -1x) + 4 -12 + 12x = (3 * 6 + -1x * 6) + 4 -12 + 12x = (18 + -6x) + 4 Reorder the terms: -12 + 12x = 18 + 4 + -6x Combine like terms: 18 + 4 = 22 -12 + 12x = 22 + -6x Solving -12 + 12x = 22 + -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. -12 + 12x + 6x = 22 + -6x + 6x Combine like terms: 12x + 6x = 18x -12 + 18x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 18x = 22 + 0 -12 + 18x = 22 Add '12' to each side of the equation. -12 + 12 + 18x = 22 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 22 + 12 18x = 22 + 12 Combine like terms: 22 + 12 = 34 18x = 34 Divide each side by '18'. x = 1.888888889 Simplifying x = 1.888888889
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