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Simplifying 3(x + 3) = 10(x + -4) Reorder the terms: 3(3 + x) = 10(x + -4) (3 * 3 + x * 3) = 10(x + -4) (9 + 3x) = 10(x + -4) Reorder the terms: 9 + 3x = 10(-4 + x) 9 + 3x = (-4 * 10 + x * 10) 9 + 3x = (-40 + 10x) Solving 9 + 3x = -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. 9 + 3x + -10x = -40 + 10x + -10x Combine like terms: 3x + -10x = -7x 9 + -7x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -7x = -40 + 0 9 + -7x = -40 Add '-9' to each side of the equation. 9 + -9 + -7x = -40 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -40 + -9 -7x = -40 + -9 Combine like terms: -40 + -9 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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