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Simplifying -2(4x + -5) + 6x = 7x + 19 Reorder the terms: -2(-5 + 4x) + 6x = 7x + 19 (-5 * -2 + 4x * -2) + 6x = 7x + 19 (10 + -8x) + 6x = 7x + 19 Combine like terms: -8x + 6x = -2x 10 + -2x = 7x + 19 Reorder the terms: 10 + -2x = 19 + 7x Solving 10 + -2x = 19 + 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. 10 + -2x + -7x = 19 + 7x + -7x Combine like terms: -2x + -7x = -9x 10 + -9x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -9x = 19 + 0 10 + -9x = 19 Add '-10' to each side of the equation. 10 + -10 + -9x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 19 + -10 -9x = 19 + -10 Combine like terms: 19 + -10 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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