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Simplifying 3(x + -5) + -2(x + 8) = 7x + 3 Reorder the terms: 3(-5 + x) + -2(x + 8) = 7x + 3 (-5 * 3 + x * 3) + -2(x + 8) = 7x + 3 (-15 + 3x) + -2(x + 8) = 7x + 3 Reorder the terms: -15 + 3x + -2(8 + x) = 7x + 3 -15 + 3x + (8 * -2 + x * -2) = 7x + 3 -15 + 3x + (-16 + -2x) = 7x + 3 Reorder the terms: -15 + -16 + 3x + -2x = 7x + 3 Combine like terms: -15 + -16 = -31 -31 + 3x + -2x = 7x + 3 Combine like terms: 3x + -2x = 1x -31 + 1x = 7x + 3 Reorder the terms: -31 + 1x = 3 + 7x Solving -31 + 1x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -31 + 1x + -7x = 3 + 7x + -7x Combine like terms: 1x + -7x = -6x -31 + -6x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -31 + -6x = 3 + 0 -31 + -6x = 3 Add '31' to each side of the equation. -31 + 31 + -6x = 3 + 31 Combine like terms: -31 + 31 = 0 0 + -6x = 3 + 31 -6x = 3 + 31 Combine like terms: 3 + 31 = 34 -6x = 34 Divide each side by '-6'. x = -5.666666667 Simplifying x = -5.666666667
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