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Simplifying 0.14285714286(x + 3) = 2x + -4(4 + -1x) + -7 Reorder the terms: 0.14285714286(3 + x) = 2x + -4(4 + -1x) + -7 (3 * 0.14285714286 + x * 0.14285714286) = 2x + -4(4 + -1x) + -7 (0.4285714286 + 0.14285714286x) = 2x + -4(4 + -1x) + -7 0.4285714286 + 0.14285714286x = 2x + (4 * -4 + -1x * -4) + -7 0.4285714286 + 0.14285714286x = 2x + (-16 + 4x) + -7 Reorder the terms: 0.4285714286 + 0.14285714286x = -16 + -7 + 2x + 4x Combine like terms: -16 + -7 = -23 0.4285714286 + 0.14285714286x = -23 + 2x + 4x Combine like terms: 2x + 4x = 6x 0.4285714286 + 0.14285714286x = -23 + 6x Solving 0.4285714286 + 0.14285714286x = -23 + 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. 0.4285714286 + 0.14285714286x + -6x = -23 + 6x + -6x Combine like terms: 0.14285714286x + -6x = -5.85714285714x 0.4285714286 + -5.85714285714x = -23 + 6x + -6x Combine like terms: 6x + -6x = 0 0.4285714286 + -5.85714285714x = -23 + 0 0.4285714286 + -5.85714285714x = -23 Add '-0.4285714286' to each side of the equation. 0.4285714286 + -0.4285714286 + -5.85714285714x = -23 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -5.85714285714x = -23 + -0.4285714286 -5.85714285714x = -23 + -0.4285714286 Combine like terms: -23 + -0.4285714286 = -23.4285714286 -5.85714285714x = -23.4285714286 Divide each side by '-5.85714285714'. x = 4 Simplifying x = 4
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