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Simplifying 9(4x + -3) + -5(4 + -3x) = -1x + -7 Reorder the terms: 9(-3 + 4x) + -5(4 + -3x) = -1x + -7 (-3 * 9 + 4x * 9) + -5(4 + -3x) = -1x + -7 (-27 + 36x) + -5(4 + -3x) = -1x + -7 -27 + 36x + (4 * -5 + -3x * -5) = -1x + -7 -27 + 36x + (-20 + 15x) = -1x + -7 Reorder the terms: -27 + -20 + 36x + 15x = -1x + -7 Combine like terms: -27 + -20 = -47 -47 + 36x + 15x = -1x + -7 Combine like terms: 36x + 15x = 51x -47 + 51x = -1x + -7 Reorder the terms: -47 + 51x = -7 + -1x Solving -47 + 51x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -47 + 51x + x = -7 + -1x + x Combine like terms: 51x + x = 52x -47 + 52x = -7 + -1x + x Combine like terms: -1x + x = 0 -47 + 52x = -7 + 0 -47 + 52x = -7 Add '47' to each side of the equation. -47 + 47 + 52x = -7 + 47 Combine like terms: -47 + 47 = 0 0 + 52x = -7 + 47 52x = -7 + 47 Combine like terms: -7 + 47 = 40 52x = 40 Divide each side by '52'. x = 0.7692307692 Simplifying x = 0.7692307692
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