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Simplifying 5(2x + 3) = 4(10x + -3) Reorder the terms: 5(3 + 2x) = 4(10x + -3) (3 * 5 + 2x * 5) = 4(10x + -3) (15 + 10x) = 4(10x + -3) Reorder the terms: 15 + 10x = 4(-3 + 10x) 15 + 10x = (-3 * 4 + 10x * 4) 15 + 10x = (-12 + 40x) Solving 15 + 10x = -12 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 15 + 10x + -40x = -12 + 40x + -40x Combine like terms: 10x + -40x = -30x 15 + -30x = -12 + 40x + -40x Combine like terms: 40x + -40x = 0 15 + -30x = -12 + 0 15 + -30x = -12 Add '-15' to each side of the equation. 15 + -15 + -30x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -30x = -12 + -15 -30x = -12 + -15 Combine like terms: -12 + -15 = -27 -30x = -27 Divide each side by '-30'. x = 0.9 Simplifying x = 0.9
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