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Simplifying 2x + -2(2x + -8) = 3(2x + -7) + 7x Reorder the terms: 2x + -2(-8 + 2x) = 3(2x + -7) + 7x 2x + (-8 * -2 + 2x * -2) = 3(2x + -7) + 7x 2x + (16 + -4x) = 3(2x + -7) + 7x Reorder the terms: 16 + 2x + -4x = 3(2x + -7) + 7x Combine like terms: 2x + -4x = -2x 16 + -2x = 3(2x + -7) + 7x Reorder the terms: 16 + -2x = 3(-7 + 2x) + 7x 16 + -2x = (-7 * 3 + 2x * 3) + 7x 16 + -2x = (-21 + 6x) + 7x Combine like terms: 6x + 7x = 13x 16 + -2x = -21 + 13x Solving 16 + -2x = -21 + 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. 16 + -2x + -13x = -21 + 13x + -13x Combine like terms: -2x + -13x = -15x 16 + -15x = -21 + 13x + -13x Combine like terms: 13x + -13x = 0 16 + -15x = -21 + 0 16 + -15x = -21 Add '-16' to each side of the equation. 16 + -16 + -15x = -21 + -16 Combine like terms: 16 + -16 = 0 0 + -15x = -21 + -16 -15x = -21 + -16 Combine like terms: -21 + -16 = -37 -15x = -37 Divide each side by '-15'. x = 2.466666667 Simplifying x = 2.466666667
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