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Simplifying 10x + -5 = 14x + 2(x + -4) Reorder the terms: -5 + 10x = 14x + 2(x + -4) Reorder the terms: -5 + 10x = 14x + 2(-4 + x) -5 + 10x = 14x + (-4 * 2 + x * 2) -5 + 10x = 14x + (-8 + 2x) Reorder the terms: -5 + 10x = -8 + 14x + 2x Combine like terms: 14x + 2x = 16x -5 + 10x = -8 + 16x Solving -5 + 10x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -5 + 10x + -16x = -8 + 16x + -16x Combine like terms: 10x + -16x = -6x -5 + -6x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 -5 + -6x = -8 + 0 -5 + -6x = -8 Add '5' to each side of the equation. -5 + 5 + -6x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -8 + 5 -6x = -8 + 5 Combine like terms: -8 + 5 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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