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Simplifying 1.4x + 4.2(5 + 3x) = 0.7(m + 20x) 1.4x + (5 * 4.2 + 3x * 4.2) = 0.7(m + 20x) 1.4x + (21 + 12.6x) = 0.7(m + 20x) Reorder the terms: 21 + 1.4x + 12.6x = 0.7(m + 20x) Combine like terms: 1.4x + 12.6x = 14x 21 + 14x = 0.7(m + 20x) 21 + 14x = (m * 0.7 + 20x * 0.7) 21 + 14x = (0.7m + 14x) Add '-14x' to each side of the equation. 21 + 14x + -14x = 0.7m + 14x + -14x Combine like terms: 14x + -14x = 0 21 + 0 = 0.7m + 14x + -14x 21 = 0.7m + 14x + -14x Combine like terms: 14x + -14x = 0 21 = 0.7m + 0 21 = 0.7m Solving 21 = 0.7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.7m' to each side of the equation. 21 + -0.7m = 0.7m + -0.7m Combine like terms: 0.7m + -0.7m = 0.0 21 + -0.7m = 0.0 Add '-21' to each side of the equation. 21 + -21 + -0.7m = 0.0 + -21 Combine like terms: 21 + -21 = 0 0 + -0.7m = 0.0 + -21 -0.7m = 0.0 + -21 Combine like terms: 0.0 + -21 = -21 -0.7m = -21 Divide each side by '-0.7'. m = 30 Simplifying m = 30
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