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Simplifying 7 + -3(-3x + 4) = 5(8x + 4) + -8 Reorder the terms: 7 + -3(4 + -3x) = 5(8x + 4) + -8 7 + (4 * -3 + -3x * -3) = 5(8x + 4) + -8 7 + (-12 + 9x) = 5(8x + 4) + -8 Combine like terms: 7 + -12 = -5 -5 + 9x = 5(8x + 4) + -8 Reorder the terms: -5 + 9x = 5(4 + 8x) + -8 -5 + 9x = (4 * 5 + 8x * 5) + -8 -5 + 9x = (20 + 40x) + -8 Reorder the terms: -5 + 9x = 20 + -8 + 40x Combine like terms: 20 + -8 = 12 -5 + 9x = 12 + 40x Solving -5 + 9x = 12 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -5 + 9x + -40x = 12 + 40x + -40x Combine like terms: 9x + -40x = -31x -5 + -31x = 12 + 40x + -40x Combine like terms: 40x + -40x = 0 -5 + -31x = 12 + 0 -5 + -31x = 12 Add '5' to each side of the equation. -5 + 5 + -31x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -31x = 12 + 5 -31x = 12 + 5 Combine like terms: 12 + 5 = 17 -31x = 17 Divide each side by '-31'. x = -0.5483870968 Simplifying x = -0.5483870968
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