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Simplifying -4(4x + 1) = -2(x + 3) + 3x Reorder the terms: -4(1 + 4x) = -2(x + 3) + 3x (1 * -4 + 4x * -4) = -2(x + 3) + 3x (-4 + -16x) = -2(x + 3) + 3x Reorder the terms: -4 + -16x = -2(3 + x) + 3x -4 + -16x = (3 * -2 + x * -2) + 3x -4 + -16x = (-6 + -2x) + 3x Combine like terms: -2x + 3x = 1x -4 + -16x = -6 + 1x Solving -4 + -16x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + -16x + -1x = -6 + 1x + -1x Combine like terms: -16x + -1x = -17x -4 + -17x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + -17x = -6 + 0 -4 + -17x = -6 Add '4' to each side of the equation. -4 + 4 + -17x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -17x = -6 + 4 -17x = -6 + 4 Combine like terms: -6 + 4 = -2 -17x = -2 Divide each side by '-17'. x = 0.1176470588 Simplifying x = 0.1176470588
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