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Simplifying 4x + -3(-10 + x) = 3(2x + 5) 4x + (-10 * -3 + x * -3) = 3(2x + 5) 4x + (30 + -3x) = 3(2x + 5) Reorder the terms: 30 + 4x + -3x = 3(2x + 5) Combine like terms: 4x + -3x = 1x 30 + 1x = 3(2x + 5) Reorder the terms: 30 + 1x = 3(5 + 2x) 30 + 1x = (5 * 3 + 2x * 3) 30 + 1x = (15 + 6x) Solving 30 + 1x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + 1x + -6x = 15 + 6x + -6x Combine like terms: 1x + -6x = -5x 30 + -5x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -5x = 15 + 0 30 + -5x = 15 Add '-30' to each side of the equation. 30 + -30 + -5x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 15 + -30 -5x = 15 + -30 Combine like terms: 15 + -30 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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