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Simplifying -6x + -34 = -6 + -4(x + 3) Reorder the terms: -34 + -6x = -6 + -4(x + 3) Reorder the terms: -34 + -6x = -6 + -4(3 + x) -34 + -6x = -6 + (3 * -4 + x * -4) -34 + -6x = -6 + (-12 + -4x) Combine like terms: -6 + -12 = -18 -34 + -6x = -18 + -4x Solving -34 + -6x = -18 + -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. -34 + -6x + 4x = -18 + -4x + 4x Combine like terms: -6x + 4x = -2x -34 + -2x = -18 + -4x + 4x Combine like terms: -4x + 4x = 0 -34 + -2x = -18 + 0 -34 + -2x = -18 Add '34' to each side of the equation. -34 + 34 + -2x = -18 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = -18 + 34 -2x = -18 + 34 Combine like terms: -18 + 34 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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