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Simplifying 15(x + -3) = 4(x + -10) + 12 Reorder the terms: 15(-3 + x) = 4(x + -10) + 12 (-3 * 15 + x * 15) = 4(x + -10) + 12 (-45 + 15x) = 4(x + -10) + 12 Reorder the terms: -45 + 15x = 4(-10 + x) + 12 -45 + 15x = (-10 * 4 + x * 4) + 12 -45 + 15x = (-40 + 4x) + 12 Reorder the terms: -45 + 15x = -40 + 12 + 4x Combine like terms: -40 + 12 = -28 -45 + 15x = -28 + 4x Solving -45 + 15x = -28 + 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 + 15x + -4x = -28 + 4x + -4x Combine like terms: 15x + -4x = 11x -45 + 11x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 11x = -28 + 0 -45 + 11x = -28 Add '45' to each side of the equation. -45 + 45 + 11x = -28 + 45 Combine like terms: -45 + 45 = 0 0 + 11x = -28 + 45 11x = -28 + 45 Combine like terms: -28 + 45 = 17 11x = 17 Divide each side by '11'. x = 1.545454545 Simplifying x = 1.545454545
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