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Simplifying 4(x + 5) = 10(x + -3) Reorder the terms: 4(5 + x) = 10(x + -3) (5 * 4 + x * 4) = 10(x + -3) (20 + 4x) = 10(x + -3) Reorder the terms: 20 + 4x = 10(-3 + x) 20 + 4x = (-3 * 10 + x * 10) 20 + 4x = (-30 + 10x) Solving 20 + 4x = -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. 20 + 4x + -10x = -30 + 10x + -10x Combine like terms: 4x + -10x = -6x 20 + -6x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -6x = -30 + 0 20 + -6x = -30 Add '-20' to each side of the equation. 20 + -20 + -6x = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -30 + -20 -6x = -30 + -20 Combine like terms: -30 + -20 = -50 -6x = -50 Divide each side by '-6'. x = 8.333333333 Simplifying x = 8.333333333
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