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Simplifying 5(2x + 3) = 4(x + -3.75) Reorder the terms: 5(3 + 2x) = 4(x + -3.75) (3 * 5 + 2x * 5) = 4(x + -3.75) (15 + 10x) = 4(x + -3.75) Reorder the terms: 15 + 10x = 4(-3.75 + x) 15 + 10x = (-3.75 * 4 + x * 4) 15 + 10x = (-15 + 4x) Solving 15 + 10x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 10x + -4x = -15 + 4x + -4x Combine like terms: 10x + -4x = 6x 15 + 6x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 6x = -15 + 0 15 + 6x = -15 Add '-15' to each side of the equation. 15 + -15 + 6x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = -15 + -15 6x = -15 + -15 Combine like terms: -15 + -15 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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