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Simplifying 10x + -3(2x + -15) = 7x Reorder the terms: 10x + -3(-15 + 2x) = 7x 10x + (-15 * -3 + 2x * -3) = 7x 10x + (45 + -6x) = 7x Reorder the terms: 45 + 10x + -6x = 7x Combine like terms: 10x + -6x = 4x 45 + 4x = 7x Solving 45 + 4x = 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. 45 + 4x + -7x = 7x + -7x Combine like terms: 4x + -7x = -3x 45 + -3x = 7x + -7x Combine like terms: 7x + -7x = 0 45 + -3x = 0 Add '-45' to each side of the equation. 45 + -45 + -3x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 0 + -45 -3x = 0 + -45 Combine like terms: 0 + -45 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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