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Simplifying 0.6(3x + -6) + 4 = 8x + 7 Reorder the terms: 0.6(-6 + 3x) + 4 = 8x + 7 (-6 * 0.6 + 3x * 0.6) + 4 = 8x + 7 (-3.6 + 1.8x) + 4 = 8x + 7 Reorder the terms: -3.6 + 4 + 1.8x = 8x + 7 Combine like terms: -3.6 + 4 = 0.4 0.4 + 1.8x = 8x + 7 Reorder the terms: 0.4 + 1.8x = 7 + 8x Solving 0.4 + 1.8x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 0.4 + 1.8x + -8x = 7 + 8x + -8x Combine like terms: 1.8x + -8x = -6.2x 0.4 + -6.2x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 0.4 + -6.2x = 7 + 0 0.4 + -6.2x = 7 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -6.2x = 7 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -6.2x = 7 + -0.4 -6.2x = 7 + -0.4 Combine like terms: 7 + -0.4 = 6.6 -6.2x = 6.6 Divide each side by '-6.2'. x = -1.064516129 Simplifying x = -1.064516129
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