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Simplifying [0.5x(46 + -29) * 2] + [0.4x(17 + -29) * 2] + [0.1x(-8 + -29) * 2] = 0 Combine like terms: 46 + -29 = 17 [0.5x(17) * 2] + [0.4x(17 + -29) * 2] + [0.1x(-8 + -29) * 2] = 0 Reorder the terms for easier multiplication: [0.5 * 17 * 2x] + [0.4x(17 + -29) * 2] + [0.1x(-8 + -29) * 2] = 0 Multiply 0.5 * 17 [8.5 * 2x] + [0.4x(17 + -29) * 2] + [0.1x(-8 + -29) * 2] = 0 Multiply 8.5 * 2 [17x] + [0.4x(17 + -29) * 2] + [0.1x(-8 + -29) * 2] = 0 Combine like terms: 17 + -29 = -12 [17x] + [0.4x(-12) * 2] + [0.1x(-8 + -29) * 2] = 0 Reorder the terms for easier multiplication: [17x] + [0.4 * -12 * 2x] + [0.1x(-8 + -29) * 2] = 0 Multiply 0.4 * -12 [17x] + [-4.8 * 2x] + [0.1x(-8 + -29) * 2] = 0 Multiply -4.8 * 2 [17x] + [-9.6x] + [0.1x(-8 + -29) * 2] = 0 Combine like terms: -8 + -29 = -37 [17x] + [-9.6x] + [0.1x(-37) * 2] = 0 Reorder the terms for easier multiplication: [17x] + [-9.6x] + [0.1 * -37 * 2x] = 0 Multiply 0.1 * -37 [17x] + [-9.6x] + [-3.7 * 2x] = 0 Multiply -3.7 * 2 [17x] + [-9.6x] + [-7.4x] = 0 Combine like terms: [17x] + [-9.6x] = 7.4x 7.4x + [-7.4x] = 0 Combine like terms: 7.4x + [-7.4x] = 0.0 0.0 = 0 Solving 0.0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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