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Simplifying 6(x + -4) + 14 = 10x + -20 Reorder the terms: 6(-4 + x) + 14 = 10x + -20 (-4 * 6 + x * 6) + 14 = 10x + -20 (-24 + 6x) + 14 = 10x + -20 Reorder the terms: -24 + 14 + 6x = 10x + -20 Combine like terms: -24 + 14 = -10 -10 + 6x = 10x + -20 Reorder the terms: -10 + 6x = -20 + 10x Solving -10 + 6x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + 6x + -10x = -20 + 10x + -10x Combine like terms: 6x + -10x = -4x -10 + -4x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -4x = -20 + 0 -10 + -4x = -20 Add '10' to each side of the equation. -10 + 10 + -4x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -20 + 10 -4x = -20 + 10 Combine like terms: -20 + 10 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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