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Simplifying 5x + 3 = 4x + -8(2x + -7) Reorder the terms: 3 + 5x = 4x + -8(2x + -7) Reorder the terms: 3 + 5x = 4x + -8(-7 + 2x) 3 + 5x = 4x + (-7 * -8 + 2x * -8) 3 + 5x = 4x + (56 + -16x) Reorder the terms: 3 + 5x = 56 + 4x + -16x Combine like terms: 4x + -16x = -12x 3 + 5x = 56 + -12x Solving 3 + 5x = 56 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 3 + 5x + 12x = 56 + -12x + 12x Combine like terms: 5x + 12x = 17x 3 + 17x = 56 + -12x + 12x Combine like terms: -12x + 12x = 0 3 + 17x = 56 + 0 3 + 17x = 56 Add '-3' to each side of the equation. 3 + -3 + 17x = 56 + -3 Combine like terms: 3 + -3 = 0 0 + 17x = 56 + -3 17x = 56 + -3 Combine like terms: 56 + -3 = 53 17x = 53 Divide each side by '17'. x = 3.117647059 Simplifying x = 3.117647059
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