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Simplifying 0.7x + -0.8[15 + -3x] = -0.2[x + -6] 0.7x + [15 * -0.8 + -3x * -0.8] = -0.2[x + -6] 0.7x + [-12 + 2.4x] = -0.2[x + -6] Reorder the terms: -12 + 0.7x + 2.4x = -0.2[x + -6] Combine like terms: 0.7x + 2.4x = 3.1x -12 + 3.1x = -0.2[x + -6] Reorder the terms: -12 + 3.1x = -0.2[-6 + x] -12 + 3.1x = [-6 * -0.2 + x * -0.2] -12 + 3.1x = [1.2 + -0.2x] Solving -12 + 3.1x = 1.2 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -12 + 3.1x + 0.2x = 1.2 + -0.2x + 0.2x Combine like terms: 3.1x + 0.2x = 3.3x -12 + 3.3x = 1.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -12 + 3.3x = 1.2 + 0.0 -12 + 3.3x = 1.2 Add '12' to each side of the equation. -12 + 12 + 3.3x = 1.2 + 12 Combine like terms: -12 + 12 = 0 0 + 3.3x = 1.2 + 12 3.3x = 1.2 + 12 Combine like terms: 1.2 + 12 = 13.2 3.3x = 13.2 Divide each side by '3.3'. x = 4 Simplifying x = 4
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