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