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Simplifying 4(2x + -3) + 4x = 2(4x + 1) + -20 Reorder the terms: 4(-3 + 2x) + 4x = 2(4x + 1) + -20 (-3 * 4 + 2x * 4) + 4x = 2(4x + 1) + -20 (-12 + 8x) + 4x = 2(4x + 1) + -20 Combine like terms: 8x + 4x = 12x -12 + 12x = 2(4x + 1) + -20 Reorder the terms: -12 + 12x = 2(1 + 4x) + -20 -12 + 12x = (1 * 2 + 4x * 2) + -20 -12 + 12x = (2 + 8x) + -20 Reorder the terms: -12 + 12x = 2 + -20 + 8x Combine like terms: 2 + -20 = -18 -12 + 12x = -18 + 8x Solving -12 + 12x = -18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 12x + -8x = -18 + 8x + -8x Combine like terms: 12x + -8x = 4x -12 + 4x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 4x = -18 + 0 -12 + 4x = -18 Add '12' to each side of the equation. -12 + 12 + 4x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -18 + 12 4x = -18 + 12 Combine like terms: -18 + 12 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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