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Simplifying -6x + 18 = 7 + -1(4x + 19) Reorder the terms: 18 + -6x = 7 + -1(4x + 19) Reorder the terms: 18 + -6x = 7 + -1(19 + 4x) 18 + -6x = 7 + (19 * -1 + 4x * -1) 18 + -6x = 7 + (-19 + -4x) Combine like terms: 7 + -19 = -12 18 + -6x = -12 + -4x Solving 18 + -6x = -12 + -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. 18 + -6x + 4x = -12 + -4x + 4x Combine like terms: -6x + 4x = -2x 18 + -2x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + -2x = -12 + 0 18 + -2x = -12 Add '-18' to each side of the equation. 18 + -18 + -2x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = -12 + -18 -2x = -12 + -18 Combine like terms: -12 + -18 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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