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Simplifying x + -4(x + -0.3) + 7 = 6 + -1(x + -4) Reorder the terms: x + -4(-0.3 + x) + 7 = 6 + -1(x + -4) x + (-0.3 * -4 + x * -4) + 7 = 6 + -1(x + -4) x + (1.2 + -4x) + 7 = 6 + -1(x + -4) Reorder the terms: 1.2 + 7 + x + -4x = 6 + -1(x + -4) Combine like terms: 1.2 + 7 = 8.2 8.2 + x + -4x = 6 + -1(x + -4) Combine like terms: x + -4x = -3x 8.2 + -3x = 6 + -1(x + -4) Reorder the terms: 8.2 + -3x = 6 + -1(-4 + x) 8.2 + -3x = 6 + (-4 * -1 + x * -1) 8.2 + -3x = 6 + (4 + -1x) Combine like terms: 6 + 4 = 10 8.2 + -3x = 10 + -1x Solving 8.2 + -3x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8.2 + -3x + x = 10 + -1x + x Combine like terms: -3x + x = -2x 8.2 + -2x = 10 + -1x + x Combine like terms: -1x + x = 0 8.2 + -2x = 10 + 0 8.2 + -2x = 10 Add '-8.2' to each side of the equation. 8.2 + -8.2 + -2x = 10 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + -2x = 10 + -8.2 -2x = 10 + -8.2 Combine like terms: 10 + -8.2 = 1.8 -2x = 1.8 Divide each side by '-2'. x = -0.9 Simplifying x = -0.9
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