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Simplifying 0.2(x + -7) = 5x + -4(x + -1) + 2.6 Reorder the terms: 0.2(-7 + x) = 5x + -4(x + -1) + 2.6 (-7 * 0.2 + x * 0.2) = 5x + -4(x + -1) + 2.6 (-1.4 + 0.2x) = 5x + -4(x + -1) + 2.6 Reorder the terms: -1.4 + 0.2x = 5x + -4(-1 + x) + 2.6 -1.4 + 0.2x = 5x + (-1 * -4 + x * -4) + 2.6 -1.4 + 0.2x = 5x + (4 + -4x) + 2.6 Reorder the terms: -1.4 + 0.2x = 4 + 2.6 + 5x + -4x Combine like terms: 4 + 2.6 = 6.6 -1.4 + 0.2x = 6.6 + 5x + -4x Combine like terms: 5x + -4x = 1x -1.4 + 0.2x = 6.6 + 1x Solving -1.4 + 0.2x = 6.6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1.4 + 0.2x + -1x = 6.6 + 1x + -1x Combine like terms: 0.2x + -1x = -0.8x -1.4 + -0.8x = 6.6 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.4 + -0.8x = 6.6 + 0 -1.4 + -0.8x = 6.6 Add '1.4' to each side of the equation. -1.4 + 1.4 + -0.8x = 6.6 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -0.8x = 6.6 + 1.4 -0.8x = 6.6 + 1.4 Combine like terms: 6.6 + 1.4 = 8 -0.8x = 8 Divide each side by '-0.8'. x = -10 Simplifying x = -10
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