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Simplifying 1.3(5x + -2) = 7[x + -1(5x + -2)] Reorder the terms: 1.3(-2 + 5x) = 7[x + -1(5x + -2)] (-2 * 1.3 + 5x * 1.3) = 7[x + -1(5x + -2)] (-2.6 + 6.5x) = 7[x + -1(5x + -2)] Reorder the terms: -2.6 + 6.5x = 7[x + -1(-2 + 5x)] -2.6 + 6.5x = 7[x + (-2 * -1 + 5x * -1)] -2.6 + 6.5x = 7[x + (2 + -5x)] Reorder the terms: -2.6 + 6.5x = 7[2 + x + -5x] Combine like terms: x + -5x = -4x -2.6 + 6.5x = 7[2 + -4x] -2.6 + 6.5x = [2 * 7 + -4x * 7] -2.6 + 6.5x = [14 + -28x] Solving -2.6 + 6.5x = 14 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -2.6 + 6.5x + 28x = 14 + -28x + 28x Combine like terms: 6.5x + 28x = 34.5x -2.6 + 34.5x = 14 + -28x + 28x Combine like terms: -28x + 28x = 0 -2.6 + 34.5x = 14 + 0 -2.6 + 34.5x = 14 Add '2.6' to each side of the equation. -2.6 + 2.6 + 34.5x = 14 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 34.5x = 14 + 2.6 34.5x = 14 + 2.6 Combine like terms: 14 + 2.6 = 16.6 34.5x = 16.6 Divide each side by '34.5'. x = 0.4811594203 Simplifying x = 0.4811594203
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