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Simplifying 5(2x + 3) = 6(x + -2) + 10 Reorder the terms: 5(3 + 2x) = 6(x + -2) + 10 (3 * 5 + 2x * 5) = 6(x + -2) + 10 (15 + 10x) = 6(x + -2) + 10 Reorder the terms: 15 + 10x = 6(-2 + x) + 10 15 + 10x = (-2 * 6 + x * 6) + 10 15 + 10x = (-12 + 6x) + 10 Reorder the terms: 15 + 10x = -12 + 10 + 6x Combine like terms: -12 + 10 = -2 15 + 10x = -2 + 6x Solving 15 + 10x = -2 + 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. 15 + 10x + -6x = -2 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = -2 + 0 15 + 4x = -2 Add '-15' to each side of the equation. 15 + -15 + 4x = -2 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -2 + -15 4x = -2 + -15 Combine like terms: -2 + -15 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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