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Simplifying -8(x + -5) + 3x = 34 + -4x Reorder the terms: -8(-5 + x) + 3x = 34 + -4x (-5 * -8 + x * -8) + 3x = 34 + -4x (40 + -8x) + 3x = 34 + -4x Combine like terms: -8x + 3x = -5x 40 + -5x = 34 + -4x Solving 40 + -5x = 34 + -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. 40 + -5x + 4x = 34 + -4x + 4x Combine like terms: -5x + 4x = -1x 40 + -1x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + -1x = 34 + 0 40 + -1x = 34 Add '-40' to each side of the equation. 40 + -40 + -1x = 34 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 34 + -40 -1x = 34 + -40 Combine like terms: 34 + -40 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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