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Simplifying 0.03(x + -1(4)) + -0.06(3x + -7) = 0 Multiply -1 * 4 0.03(x + -4) + -0.06(3x + -7) = 0 Reorder the terms: 0.03(-4 + x) + -0.06(3x + -7) = 0 (-4 * 0.03 + x * 0.03) + -0.06(3x + -7) = 0 (-0.12 + 0.03x) + -0.06(3x + -7) = 0 Reorder the terms: -0.12 + 0.03x + -0.06(-7 + 3x) = 0 -0.12 + 0.03x + (-7 * -0.06 + 3x * -0.06) = 0 -0.12 + 0.03x + (0.42 + -0.18x) = 0 Reorder the terms: -0.12 + 0.42 + 0.03x + -0.18x = 0 Combine like terms: -0.12 + 0.42 = 0.3 0.3 + 0.03x + -0.18x = 0 Combine like terms: 0.03x + -0.18x = -0.15x 0.3 + -0.15x = 0 Solving 0.3 + -0.15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.15x = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.15x = 0 + -0.3 -0.15x = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 -0.15x = -0.3 Divide each side by '-0.15'. x = 2 Simplifying x = 2
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