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Simplifying 0.4x + 7 = 6(x + -2) + -3x Reorder the terms: 7 + 0.4x = 6(x + -2) + -3x Reorder the terms: 7 + 0.4x = 6(-2 + x) + -3x 7 + 0.4x = (-2 * 6 + x * 6) + -3x 7 + 0.4x = (-12 + 6x) + -3x Combine like terms: 6x + -3x = 3x 7 + 0.4x = -12 + 3x Solving 7 + 0.4x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 0.4x + -3x = -12 + 3x + -3x Combine like terms: 0.4x + -3x = -2.6x 7 + -2.6x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -2.6x = -12 + 0 7 + -2.6x = -12 Add '-7' to each side of the equation. 7 + -7 + -2.6x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -2.6x = -12 + -7 -2.6x = -12 + -7 Combine like terms: -12 + -7 = -19 -2.6x = -19 Divide each side by '-2.6'. x = 7.307692308 Simplifying x = 7.307692308
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