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Simplifying 4(x + -4) = 6(2x + 1) Reorder the terms: 4(-4 + x) = 6(2x + 1) (-4 * 4 + x * 4) = 6(2x + 1) (-16 + 4x) = 6(2x + 1) Reorder the terms: -16 + 4x = 6(1 + 2x) -16 + 4x = (1 * 6 + 2x * 6) -16 + 4x = (6 + 12x) Solving -16 + 4x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -16 + 4x + -12x = 6 + 12x + -12x Combine like terms: 4x + -12x = -8x -16 + -8x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -8x = 6 + 0 -16 + -8x = 6 Add '16' to each side of the equation. -16 + 16 + -8x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = 6 + 16 -8x = 6 + 16 Combine like terms: 6 + 16 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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