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Simplifying 4(x + -4) = 7x + -34 Reorder the terms: 4(-4 + x) = 7x + -34 (-4 * 4 + x * 4) = 7x + -34 (-16 + 4x) = 7x + -34 Reorder the terms: -16 + 4x = -34 + 7x Solving -16 + 4x = -34 + 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. -16 + 4x + -7x = -34 + 7x + -7x Combine like terms: 4x + -7x = -3x -16 + -3x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -3x = -34 + 0 -16 + -3x = -34 Add '16' to each side of the equation. -16 + 16 + -3x = -34 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = -34 + 16 -3x = -34 + 16 Combine like terms: -34 + 16 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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