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Simplifying (2x + -7) + 12(3x + 0.7) = 1.6x Reorder the terms: (-7 + 2x) + 12(3x + 0.7) = 1.6x Remove parenthesis around (-7 + 2x) -7 + 2x + 12(3x + 0.7) = 1.6x Reorder the terms: -7 + 2x + 12(0.7 + 3x) = 1.6x -7 + 2x + (0.7 * 12 + 3x * 12) = 1.6x -7 + 2x + (8.4 + 36x) = 1.6x Reorder the terms: -7 + 8.4 + 2x + 36x = 1.6x Combine like terms: -7 + 8.4 = 1.4 1.4 + 2x + 36x = 1.6x Combine like terms: 2x + 36x = 38x 1.4 + 38x = 1.6x Solving 1.4 + 38x = 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 1.4 + 38x + -1.6x = 1.6x + -1.6x Combine like terms: 38x + -1.6x = 36.4x 1.4 + 36.4x = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 1.4 + 36.4x = 0.0 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 36.4x = 0.0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 36.4x = 0.0 + -1.4 36.4x = 0.0 + -1.4 Combine like terms: 0.0 + -1.4 = -1.4 36.4x = -1.4 Divide each side by '36.4'. x = -0.03846153846 Simplifying x = -0.03846153846
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