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Simplifying -2(7x + -3) + 4x = 5(x + 3) Reorder the terms: -2(-3 + 7x) + 4x = 5(x + 3) (-3 * -2 + 7x * -2) + 4x = 5(x + 3) (6 + -14x) + 4x = 5(x + 3) Combine like terms: -14x + 4x = -10x 6 + -10x = 5(x + 3) Reorder the terms: 6 + -10x = 5(3 + x) 6 + -10x = (3 * 5 + x * 5) 6 + -10x = (15 + 5x) Solving 6 + -10x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -10x + -5x = 15 + 5x + -5x Combine like terms: -10x + -5x = -15x 6 + -15x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -15x = 15 + 0 6 + -15x = 15 Add '-6' to each side of the equation. 6 + -6 + -15x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = 15 + -6 -15x = 15 + -6 Combine like terms: 15 + -6 = 9 -15x = 9 Divide each side by '-15'. x = -0.6 Simplifying x = -0.6
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