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Simplifying 3(8x + -0.5) + -5x + 3 = 7x + -5(x + 10) + 1.5 Reorder the terms: 3(-0.5 + 8x) + -5x + 3 = 7x + -5(x + 10) + 1.5 (-0.5 * 3 + 8x * 3) + -5x + 3 = 7x + -5(x + 10) + 1.5 (-1.5 + 24x) + -5x + 3 = 7x + -5(x + 10) + 1.5 Reorder the terms: -1.5 + 3 + 24x + -5x = 7x + -5(x + 10) + 1.5 Combine like terms: -1.5 + 3 = 1.5 1.5 + 24x + -5x = 7x + -5(x + 10) + 1.5 Combine like terms: 24x + -5x = 19x 1.5 + 19x = 7x + -5(x + 10) + 1.5 Reorder the terms: 1.5 + 19x = 7x + -5(10 + x) + 1.5 1.5 + 19x = 7x + (10 * -5 + x * -5) + 1.5 1.5 + 19x = 7x + (-50 + -5x) + 1.5 Reorder the terms: 1.5 + 19x = -50 + 1.5 + 7x + -5x Combine like terms: -50 + 1.5 = -48.5 1.5 + 19x = -48.5 + 7x + -5x Combine like terms: 7x + -5x = 2x 1.5 + 19x = -48.5 + 2x Solving 1.5 + 19x = -48.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1.5 + 19x + -2x = -48.5 + 2x + -2x Combine like terms: 19x + -2x = 17x 1.5 + 17x = -48.5 + 2x + -2x Combine like terms: 2x + -2x = 0 1.5 + 17x = -48.5 + 0 1.5 + 17x = -48.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 17x = -48.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 17x = -48.5 + -1.5 17x = -48.5 + -1.5 Combine like terms: -48.5 + -1.5 = -50 17x = -50 Divide each side by '17'. x = -2.941176471 Simplifying x = -2.941176471
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