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Simplifying -6x + 19 = 7 + -1(4x + 9) Reorder the terms: 19 + -6x = 7 + -1(4x + 9) Reorder the terms: 19 + -6x = 7 + -1(9 + 4x) 19 + -6x = 7 + (9 * -1 + 4x * -1) 19 + -6x = 7 + (-9 + -4x) Combine like terms: 7 + -9 = -2 19 + -6x = -2 + -4x Solving 19 + -6x = -2 + -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. 19 + -6x + 4x = -2 + -4x + 4x Combine like terms: -6x + 4x = -2x 19 + -2x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 19 + -2x = -2 + 0 19 + -2x = -2 Add '-19' to each side of the equation. 19 + -19 + -2x = -2 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = -2 + -19 -2x = -2 + -19 Combine like terms: -2 + -19 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5
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