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Simplifying 8(x + 7) + -2x = 5x + -1(3x + -4) Reorder the terms: 8(7 + x) + -2x = 5x + -1(3x + -4) (7 * 8 + x * 8) + -2x = 5x + -1(3x + -4) (56 + 8x) + -2x = 5x + -1(3x + -4) Combine like terms: 8x + -2x = 6x 56 + 6x = 5x + -1(3x + -4) Reorder the terms: 56 + 6x = 5x + -1(-4 + 3x) 56 + 6x = 5x + (-4 * -1 + 3x * -1) 56 + 6x = 5x + (4 + -3x) Reorder the terms: 56 + 6x = 4 + 5x + -3x Combine like terms: 5x + -3x = 2x 56 + 6x = 4 + 2x Solving 56 + 6x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 56 + 6x + -2x = 4 + 2x + -2x Combine like terms: 6x + -2x = 4x 56 + 4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 56 + 4x = 4 + 0 56 + 4x = 4 Add '-56' to each side of the equation. 56 + -56 + 4x = 4 + -56 Combine like terms: 56 + -56 = 0 0 + 4x = 4 + -56 4x = 4 + -56 Combine like terms: 4 + -56 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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