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Simplifying -0.09(x + -27) + 0.03(x + 3) = x + 4 Reorder the terms: -0.09(-27 + x) + 0.03(x + 3) = x + 4 (-27 * -0.09 + x * -0.09) + 0.03(x + 3) = x + 4 (2.43 + -0.09x) + 0.03(x + 3) = x + 4 Reorder the terms: 2.43 + -0.09x + 0.03(3 + x) = x + 4 2.43 + -0.09x + (3 * 0.03 + x * 0.03) = x + 4 2.43 + -0.09x + (0.09 + 0.03x) = x + 4 Reorder the terms: 2.43 + 0.09 + -0.09x + 0.03x = x + 4 Combine like terms: 2.43 + 0.09 = 2.52 2.52 + -0.09x + 0.03x = x + 4 Combine like terms: -0.09x + 0.03x = -0.06x 2.52 + -0.06x = x + 4 Reorder the terms: 2.52 + -0.06x = 4 + x Solving 2.52 + -0.06x = 4 + x 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. 2.52 + -0.06x + -1x = 4 + x + -1x Combine like terms: -0.06x + -1x = -1.06x 2.52 + -1.06x = 4 + x + -1x Combine like terms: x + -1x = 0 2.52 + -1.06x = 4 + 0 2.52 + -1.06x = 4 Add '-2.52' to each side of the equation. 2.52 + -2.52 + -1.06x = 4 + -2.52 Combine like terms: 2.52 + -2.52 = 0.00 0.00 + -1.06x = 4 + -2.52 -1.06x = 4 + -2.52 Combine like terms: 4 + -2.52 = 1.48 -1.06x = 1.48 Divide each side by '-1.06'. x = -1.396226415 Simplifying x = -1.396226415
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