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Simplifying -2(x + 4) = 9x + -7 + 2(2x + 1) Reorder the terms: -2(4 + x) = 9x + -7 + 2(2x + 1) (4 * -2 + x * -2) = 9x + -7 + 2(2x + 1) (-8 + -2x) = 9x + -7 + 2(2x + 1) Reorder the terms: -8 + -2x = 9x + -7 + 2(1 + 2x) -8 + -2x = 9x + -7 + (1 * 2 + 2x * 2) -8 + -2x = 9x + -7 + (2 + 4x) Reorder the terms: -8 + -2x = -7 + 2 + 9x + 4x Combine like terms: -7 + 2 = -5 -8 + -2x = -5 + 9x + 4x Combine like terms: 9x + 4x = 13x -8 + -2x = -5 + 13x Solving -8 + -2x = -5 + 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. -8 + -2x + -13x = -5 + 13x + -13x Combine like terms: -2x + -13x = -15x -8 + -15x = -5 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 + -15x = -5 + 0 -8 + -15x = -5 Add '8' to each side of the equation. -8 + 8 + -15x = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -15x = -5 + 8 -15x = -5 + 8 Combine like terms: -5 + 8 = 3 -15x = 3 Divide each side by '-15'. x = -0.2 Simplifying x = -0.2
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