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Simplifying 10(2x + 3) = 10(x + -4) Reorder the terms: 10(3 + 2x) = 10(x + -4) (3 * 10 + 2x * 10) = 10(x + -4) (30 + 20x) = 10(x + -4) Reorder the terms: 30 + 20x = 10(-4 + x) 30 + 20x = (-4 * 10 + x * 10) 30 + 20x = (-40 + 10x) Solving 30 + 20x = -40 + 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. 30 + 20x + -10x = -40 + 10x + -10x Combine like terms: 20x + -10x = 10x 30 + 10x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + 10x = -40 + 0 30 + 10x = -40 Add '-30' to each side of the equation. 30 + -30 + 10x = -40 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = -40 + -30 10x = -40 + -30 Combine like terms: -40 + -30 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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