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Simplifying 2.1 + -14x = -5.9x + -1(8x + -2) Reorder the terms: 2.1 + -14x = -5.9x + -1(-2 + 8x) 2.1 + -14x = -5.9x + (-2 * -1 + 8x * -1) 2.1 + -14x = -5.9x + (2 + -8x) Reorder the terms: 2.1 + -14x = 2 + -5.9x + -8x Combine like terms: -5.9x + -8x = -13.9x 2.1 + -14x = 2 + -13.9x Solving 2.1 + -14x = 2 + -13.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13.9x' to each side of the equation. 2.1 + -14x + 13.9x = 2 + -13.9x + 13.9x Combine like terms: -14x + 13.9x = -0.1x 2.1 + -0.1x = 2 + -13.9x + 13.9x Combine like terms: -13.9x + 13.9x = 0.0 2.1 + -0.1x = 2 + 0.0 2.1 + -0.1x = 2 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.1x = 2 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.1x = 2 + -2.1 -0.1x = 2 + -2.1 Combine like terms: 2 + -2.1 = -0.1 -0.1x = -0.1 Divide each side by '-0.1'. x = 1 Simplifying x = 1
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