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Simplifying -5(x + -2) + 9x = 6x + -3 Reorder the terms: -5(-2 + x) + 9x = 6x + -3 (-2 * -5 + x * -5) + 9x = 6x + -3 (10 + -5x) + 9x = 6x + -3 Combine like terms: -5x + 9x = 4x 10 + 4x = 6x + -3 Reorder the terms: 10 + 4x = -3 + 6x Solving 10 + 4x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 4x + -6x = -3 + 6x + -6x Combine like terms: 4x + -6x = -2x 10 + -2x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -2x = -3 + 0 10 + -2x = -3 Add '-10' to each side of the equation. 10 + -10 + -2x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -3 + -10 -2x = -3 + -10 Combine like terms: -3 + -10 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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