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Simplifying 5(3x + 1) = 2(5x + -4) + 6x Reorder the terms: 5(1 + 3x) = 2(5x + -4) + 6x (1 * 5 + 3x * 5) = 2(5x + -4) + 6x (5 + 15x) = 2(5x + -4) + 6x Reorder the terms: 5 + 15x = 2(-4 + 5x) + 6x 5 + 15x = (-4 * 2 + 5x * 2) + 6x 5 + 15x = (-8 + 10x) + 6x Combine like terms: 10x + 6x = 16x 5 + 15x = -8 + 16x Solving 5 + 15x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 5 + 15x + -16x = -8 + 16x + -16x Combine like terms: 15x + -16x = -1x 5 + -1x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 5 + -1x = -8 + 0 5 + -1x = -8 Add '-5' to each side of the equation. 5 + -5 + -1x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -8 + -5 -1x = -8 + -5 Combine like terms: -8 + -5 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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