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Simplifying 4(x + -3) + -5(3x + -8) = -49 Reorder the terms: 4(-3 + x) + -5(3x + -8) = -49 (-3 * 4 + x * 4) + -5(3x + -8) = -49 (-12 + 4x) + -5(3x + -8) = -49 Reorder the terms: -12 + 4x + -5(-8 + 3x) = -49 -12 + 4x + (-8 * -5 + 3x * -5) = -49 -12 + 4x + (40 + -15x) = -49 Reorder the terms: -12 + 40 + 4x + -15x = -49 Combine like terms: -12 + 40 = 28 28 + 4x + -15x = -49 Combine like terms: 4x + -15x = -11x 28 + -11x = -49 Solving 28 + -11x = -49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -11x = -49 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = -49 + -28 -11x = -49 + -28 Combine like terms: -49 + -28 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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