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Simplifying 2x + -8 + 14x = 4(6x + -4) + 6 Reorder the terms: -8 + 2x + 14x = 4(6x + -4) + 6 Combine like terms: 2x + 14x = 16x -8 + 16x = 4(6x + -4) + 6 Reorder the terms: -8 + 16x = 4(-4 + 6x) + 6 -8 + 16x = (-4 * 4 + 6x * 4) + 6 -8 + 16x = (-16 + 24x) + 6 Reorder the terms: -8 + 16x = -16 + 6 + 24x Combine like terms: -16 + 6 = -10 -8 + 16x = -10 + 24x Solving -8 + 16x = -10 + 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. -8 + 16x + -24x = -10 + 24x + -24x Combine like terms: 16x + -24x = -8x -8 + -8x = -10 + 24x + -24x Combine like terms: 24x + -24x = 0 -8 + -8x = -10 + 0 -8 + -8x = -10 Add '8' to each side of the equation. -8 + 8 + -8x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -10 + 8 -8x = -10 + 8 Combine like terms: -10 + 8 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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