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Simplifying 10(x + 4) = 7(x + -3) Reorder the terms: 10(4 + x) = 7(x + -3) (4 * 10 + x * 10) = 7(x + -3) (40 + 10x) = 7(x + -3) Reorder the terms: 40 + 10x = 7(-3 + x) 40 + 10x = (-3 * 7 + x * 7) 40 + 10x = (-21 + 7x) Solving 40 + 10x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + 10x + -7x = -21 + 7x + -7x Combine like terms: 10x + -7x = 3x 40 + 3x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 3x = -21 + 0 40 + 3x = -21 Add '-40' to each side of the equation. 40 + -40 + 3x = -21 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = -21 + -40 3x = -21 + -40 Combine like terms: -21 + -40 = -61 3x = -61 Divide each side by '3'. x = -20.33333333 Simplifying x = -20.33333333
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