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Simplifying 7(1 + -3x) + -3.5 = 10(0.05 + -2.4x) (1 * 7 + -3x * 7) + -3.5 = 10(0.05 + -2.4x) (7 + -21x) + -3.5 = 10(0.05 + -2.4x) Reorder the terms: 7 + -3.5 + -21x = 10(0.05 + -2.4x) Combine like terms: 7 + -3.5 = 3.5 3.5 + -21x = 10(0.05 + -2.4x) 3.5 + -21x = (0.05 * 10 + -2.4x * 10) 3.5 + -21x = (0.5 + -24x) Solving 3.5 + -21x = 0.5 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 3.5 + -21x + 24x = 0.5 + -24x + 24x Combine like terms: -21x + 24x = 3x 3.5 + 3x = 0.5 + -24x + 24x Combine like terms: -24x + 24x = 0 3.5 + 3x = 0.5 + 0 3.5 + 3x = 0.5 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 3x = 0.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 3x = 0.5 + -3.5 3x = 0.5 + -3.5 Combine like terms: 0.5 + -3.5 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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