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Simplifying 5 + 2(4 + -3x) = 5x + 2(4x + -3) 5 + (4 * 2 + -3x * 2) = 5x + 2(4x + -3) 5 + (8 + -6x) = 5x + 2(4x + -3) Combine like terms: 5 + 8 = 13 13 + -6x = 5x + 2(4x + -3) Reorder the terms: 13 + -6x = 5x + 2(-3 + 4x) 13 + -6x = 5x + (-3 * 2 + 4x * 2) 13 + -6x = 5x + (-6 + 8x) Reorder the terms: 13 + -6x = -6 + 5x + 8x Combine like terms: 5x + 8x = 13x 13 + -6x = -6 + 13x Solving 13 + -6x = -6 + 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. 13 + -6x + -13x = -6 + 13x + -13x Combine like terms: -6x + -13x = -19x 13 + -19x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 13 + -19x = -6 + 0 13 + -19x = -6 Add '-13' to each side of the equation. 13 + -13 + -19x = -6 + -13 Combine like terms: 13 + -13 = 0 0 + -19x = -6 + -13 -19x = -6 + -13 Combine like terms: -6 + -13 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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