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Simplifying 7(4 + -3x) = 8(2x + 5) (4 * 7 + -3x * 7) = 8(2x + 5) (28 + -21x) = 8(2x + 5) Reorder the terms: 28 + -21x = 8(5 + 2x) 28 + -21x = (5 * 8 + 2x * 8) 28 + -21x = (40 + 16x) Solving 28 + -21x = 40 + 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. 28 + -21x + -16x = 40 + 16x + -16x Combine like terms: -21x + -16x = -37x 28 + -37x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 28 + -37x = 40 + 0 28 + -37x = 40 Add '-28' to each side of the equation. 28 + -28 + -37x = 40 + -28 Combine like terms: 28 + -28 = 0 0 + -37x = 40 + -28 -37x = 40 + -28 Combine like terms: 40 + -28 = 12 -37x = 12 Divide each side by '-37'. x = -0.3243243243 Simplifying x = -0.3243243243
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