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Simplifying 3x + 2 + -5x = 7x + 2(3x + -4) Reorder the terms: 2 + 3x + -5x = 7x + 2(3x + -4) Combine like terms: 3x + -5x = -2x 2 + -2x = 7x + 2(3x + -4) Reorder the terms: 2 + -2x = 7x + 2(-4 + 3x) 2 + -2x = 7x + (-4 * 2 + 3x * 2) 2 + -2x = 7x + (-8 + 6x) Reorder the terms: 2 + -2x = -8 + 7x + 6x Combine like terms: 7x + 6x = 13x 2 + -2x = -8 + 13x Solving 2 + -2x = -8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 2 + -2x + -13x = -8 + 13x + -13x Combine like terms: -2x + -13x = -15x 2 + -15x = -8 + 13x + -13x Combine like terms: 13x + -13x = 0 2 + -15x = -8 + 0 2 + -15x = -8 Add '-2' to each side of the equation. 2 + -2 + -15x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -15x = -8 + -2 -15x = -8 + -2 Combine like terms: -8 + -2 = -10 -15x = -10 Divide each side by '-15'. x = 0.6666666667 Simplifying x = 0.6666666667
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