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Simplifying 4(3x + -10) = 10(x + -3) Reorder the terms: 4(-10 + 3x) = 10(x + -3) (-10 * 4 + 3x * 4) = 10(x + -3) (-40 + 12x) = 10(x + -3) Reorder the terms: -40 + 12x = 10(-3 + x) -40 + 12x = (-3 * 10 + x * 10) -40 + 12x = (-30 + 10x) Solving -40 + 12x = -30 + 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. -40 + 12x + -10x = -30 + 10x + -10x Combine like terms: 12x + -10x = 2x -40 + 2x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + 2x = -30 + 0 -40 + 2x = -30 Add '40' to each side of the equation. -40 + 40 + 2x = -30 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = -30 + 40 2x = -30 + 40 Combine like terms: -30 + 40 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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