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Simplifying 6x + 10 = 2(5x + -4) Reorder the terms: 10 + 6x = 2(5x + -4) Reorder the terms: 10 + 6x = 2(-4 + 5x) 10 + 6x = (-4 * 2 + 5x * 2) 10 + 6x = (-8 + 10x) Solving 10 + 6x = -8 + 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 = -8 + 10x + -10x Combine like terms: 6x + -10x = -4x 10 + -4x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -4x = -8 + 0 10 + -4x = -8 Add '-10' to each side of the equation. 10 + -10 + -4x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -8 + -10 -4x = -8 + -10 Combine like terms: -8 + -10 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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