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Simplifying 3x + -14 + 5x = 6(4x + -4) + 6 Reorder the terms: -14 + 3x + 5x = 6(4x + -4) + 6 Combine like terms: 3x + 5x = 8x -14 + 8x = 6(4x + -4) + 6 Reorder the terms: -14 + 8x = 6(-4 + 4x) + 6 -14 + 8x = (-4 * 6 + 4x * 6) + 6 -14 + 8x = (-24 + 24x) + 6 Reorder the terms: -14 + 8x = -24 + 6 + 24x Combine like terms: -24 + 6 = -18 -14 + 8x = -18 + 24x Solving -14 + 8x = -18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -14 + 8x + -24x = -18 + 24x + -24x Combine like terms: 8x + -24x = -16x -14 + -16x = -18 + 24x + -24x Combine like terms: 24x + -24x = 0 -14 + -16x = -18 + 0 -14 + -16x = -18 Add '14' to each side of the equation. -14 + 14 + -16x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -16x = -18 + 14 -16x = -18 + 14 Combine like terms: -18 + 14 = -4 -16x = -4 Divide each side by '-16'. x = 0.25 Simplifying x = 0.25
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