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Simplifying 10x + -6(x + -3) = 15(x + -6) + 20 Reorder the terms: 10x + -6(-3 + x) = 15(x + -6) + 20 10x + (-3 * -6 + x * -6) = 15(x + -6) + 20 10x + (18 + -6x) = 15(x + -6) + 20 Reorder the terms: 18 + 10x + -6x = 15(x + -6) + 20 Combine like terms: 10x + -6x = 4x 18 + 4x = 15(x + -6) + 20 Reorder the terms: 18 + 4x = 15(-6 + x) + 20 18 + 4x = (-6 * 15 + x * 15) + 20 18 + 4x = (-90 + 15x) + 20 Reorder the terms: 18 + 4x = -90 + 20 + 15x Combine like terms: -90 + 20 = -70 18 + 4x = -70 + 15x Solving 18 + 4x = -70 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 4x + -15x = -70 + 15x + -15x Combine like terms: 4x + -15x = -11x 18 + -11x = -70 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -11x = -70 + 0 18 + -11x = -70 Add '-18' to each side of the equation. 18 + -18 + -11x = -70 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -70 + -18 -11x = -70 + -18 Combine like terms: -70 + -18 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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