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Simplifying 1000 + -1(x + -40) + -0.6x = x Reorder the terms: 1000 + -1(-40 + x) + -0.6x = x 1000 + (-40 * -1 + x * -1) + -0.6x = x 1000 + (40 + -1x) + -0.6x = x Combine like terms: 1000 + 40 = 1040 1040 + -1x + -0.6x = x Combine like terms: -1x + -0.6x = -1.6x 1040 + -1.6x = x Solving 1040 + -1.6x = 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. 1040 + -1.6x + -1x = x + -1x Combine like terms: -1.6x + -1x = -2.6x 1040 + -2.6x = x + -1x Combine like terms: x + -1x = 0 1040 + -2.6x = 0 Add '-1040' to each side of the equation. 1040 + -1040 + -2.6x = 0 + -1040 Combine like terms: 1040 + -1040 = 0 0 + -2.6x = 0 + -1040 -2.6x = 0 + -1040 Combine like terms: 0 + -1040 = -1040 -2.6x = -1040 Divide each side by '-2.6'. x = 400 Simplifying x = 400
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