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Simplifying 7y8 + -16x + 42 = -1x + 4(17y + -6) Reorder the terms: 42 + -16x + 7y8 = -1x + 4(17y + -6) Reorder the terms: 42 + -16x + 7y8 = -1x + 4(-6 + 17y) 42 + -16x + 7y8 = -1x + (-6 * 4 + 17y * 4) 42 + -16x + 7y8 = -1x + (-24 + 68y) Reorder the terms: 42 + -16x + 7y8 = -24 + -1x + 68y Solving 42 + -16x + 7y8 = -24 + -1x + 68y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + -16x + x + 7y8 = -24 + -1x + x + 68y Combine like terms: -16x + x = -15x 42 + -15x + 7y8 = -24 + -1x + x + 68y Combine like terms: -1x + x = 0 42 + -15x + 7y8 = -24 + 0 + 68y 42 + -15x + 7y8 = -24 + 68y Add '-42' to each side of the equation. 42 + -15x + -42 + 7y8 = -24 + -42 + 68y Reorder the terms: 42 + -42 + -15x + 7y8 = -24 + -42 + 68y Combine like terms: 42 + -42 = 0 0 + -15x + 7y8 = -24 + -42 + 68y -15x + 7y8 = -24 + -42 + 68y Combine like terms: -24 + -42 = -66 -15x + 7y8 = -66 + 68y Add '-7y8' to each side of the equation. -15x + 7y8 + -7y8 = -66 + 68y + -7y8 Combine like terms: 7y8 + -7y8 = 0 -15x + 0 = -66 + 68y + -7y8 -15x = -66 + 68y + -7y8 Divide each side by '-15'. x = 4.4 + -4.533333333y + 0.4666666667y8 Simplifying x = 4.4 + -4.533333333y + 0.4666666667y8
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