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Simplifying 10x + -45 = 2(2x + -3) Reorder the terms: -45 + 10x = 2(2x + -3) Reorder the terms: -45 + 10x = 2(-3 + 2x) -45 + 10x = (-3 * 2 + 2x * 2) -45 + 10x = (-6 + 4x) Solving -45 + 10x = -6 + 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. -45 + 10x + -4x = -6 + 4x + -4x Combine like terms: 10x + -4x = 6x -45 + 6x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 6x = -6 + 0 -45 + 6x = -6 Add '45' to each side of the equation. -45 + 45 + 6x = -6 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = -6 + 45 6x = -6 + 45 Combine like terms: -6 + 45 = 39 6x = 39 Divide each side by '6'. x = 6.5 Simplifying x = 6.5
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