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Simplifying (2x + -3) * 0.4 + 1 = 6x + 7 Reorder the terms: (-3 + 2x) * 0.4 + 1 = 6x + 7 Reorder the terms for easier multiplication: 0.4(-3 + 2x) + 1 = 6x + 7 (-3 * 0.4 + 2x * 0.4) + 1 = 6x + 7 (-1.2 + 0.8x) + 1 = 6x + 7 Reorder the terms: -1.2 + 1 + 0.8x = 6x + 7 Combine like terms: -1.2 + 1 = -0.2 -0.2 + 0.8x = 6x + 7 Reorder the terms: -0.2 + 0.8x = 7 + 6x Solving -0.2 + 0.8x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -0.2 + 0.8x + -6x = 7 + 6x + -6x Combine like terms: 0.8x + -6x = -5.2x -0.2 + -5.2x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -0.2 + -5.2x = 7 + 0 -0.2 + -5.2x = 7 Add '0.2' to each side of the equation. -0.2 + 0.2 + -5.2x = 7 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -5.2x = 7 + 0.2 -5.2x = 7 + 0.2 Combine like terms: 7 + 0.2 = 7.2 -5.2x = 7.2 Divide each side by '-5.2'. x = -1.384615385 Simplifying x = -1.384615385
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