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Simplifying 5x + -2(3x + -8) = 6(2x + -7) + 7x Reorder the terms: 5x + -2(-8 + 3x) = 6(2x + -7) + 7x 5x + (-8 * -2 + 3x * -2) = 6(2x + -7) + 7x 5x + (16 + -6x) = 6(2x + -7) + 7x Reorder the terms: 16 + 5x + -6x = 6(2x + -7) + 7x Combine like terms: 5x + -6x = -1x 16 + -1x = 6(2x + -7) + 7x Reorder the terms: 16 + -1x = 6(-7 + 2x) + 7x 16 + -1x = (-7 * 6 + 2x * 6) + 7x 16 + -1x = (-42 + 12x) + 7x Combine like terms: 12x + 7x = 19x 16 + -1x = -42 + 19x Solving 16 + -1x = -42 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 16 + -1x + -19x = -42 + 19x + -19x Combine like terms: -1x + -19x = -20x 16 + -20x = -42 + 19x + -19x Combine like terms: 19x + -19x = 0 16 + -20x = -42 + 0 16 + -20x = -42 Add '-16' to each side of the equation. 16 + -16 + -20x = -42 + -16 Combine like terms: 16 + -16 = 0 0 + -20x = -42 + -16 -20x = -42 + -16 Combine like terms: -42 + -16 = -58 -20x = -58 Divide each side by '-20'. x = 2.9 Simplifying x = 2.9
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